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Finding the Fourth Proportional to 547.47, 821.39 and 223.11

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Solution

The fourth proportional to 547.47, 821.39 and 223.11 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.47 : 821.39 = 223.11 : x
  2. Step 2: Convert to fraction form
    547.47/821.39 = 223.11/x
  3. Step 3: Cross multiply
    547.47x = 821.39 × 223.11
  4. Step 4: Simplify right side
    547.47x = 183,259.21
  5. Step 5: Solve for x
    x = 183,259.21/547.47
  6. Step 6: Final answer
    x = 334.74

Related Problems

Find fourth proportional to 273.74, 410.69 and 111.56
Half scale
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Double scale
Find fourth proportional to 548.47, 822.89 and 224.11
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.