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Finding the Fourth Proportional to 531.61, 797.48 and 166.42

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Solution

The fourth proportional to 531.61, 797.48 and 166.42 is: 249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.61 : 797.48 = 166.42 : x
  2. Step 2: Convert to fraction form
    531.61/797.48 = 166.42/x
  3. Step 3: Cross multiply
    531.61x = 797.48 × 166.42
  4. Step 4: Simplify right side
    531.61x = 132,711.80
  5. Step 5: Solve for x
    x = 132,711.80/531.61
  6. Step 6: Final answer
    x = 249.64

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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.