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Finding the Fourth Proportional to 531.56, 797.42 and 166.27

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Solution

The fourth proportional to 531.56, 797.42 and 166.27 is: 249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 797.42 = 166.27 : x
  2. Step 2: Convert to fraction form
    531.56/797.42 = 166.27/x
  3. Step 3: Cross multiply
    531.56x = 797.42 × 166.27
  4. Step 4: Simplify right side
    531.56x = 132,587.02
  5. Step 5: Solve for x
    x = 132,587.02/531.56
  6. Step 6: Final answer
    x = 249.43

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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.