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Finding the Fourth Proportional to 821.61, 1,232.60 and 266.30

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Solution

The fourth proportional to 821.61, 1,232.60 and 266.30 is: 399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.61 : 1,232.60 = 266.30 : x
  2. Step 2: Convert to fraction form
    821.61/1,232.60 = 266.30/x
  3. Step 3: Cross multiply
    821.61x = 1,232.60 × 266.30
  4. Step 4: Simplify right side
    821.61x = 328,236.22
  5. Step 5: Solve for x
    x = 328,236.22/821.61
  6. Step 6: Final answer
    x = 399.50

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Double scale
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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.