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Finding the Fourth Proportional to 821.38, 1,232.24 and 273.62

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Solution

The fourth proportional to 821.38, 1,232.24 and 273.62 is: 410.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.38 : 1,232.24 = 273.62 : x
  2. Step 2: Convert to fraction form
    821.38/1,232.24 = 273.62/x
  3. Step 3: Cross multiply
    821.38x = 1,232.24 × 273.62
  4. Step 4: Simplify right side
    821.38x = 337,165.51
  5. Step 5: Solve for x
    x = 337,165.51/821.38
  6. Step 6: Final answer
    x = 410.49

Related Problems

Find fourth proportional to 410.69, 616.12 and 136.81
Half scale
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Double scale
Find fourth proportional to 822.38, 1,233.74 and 274.62
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.