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Finding the Fourth Proportional to 531.62, 797.42 and 166.40

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Solution

The fourth proportional to 531.62, 797.42 and 166.40 is: 249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.62 : 797.42 = 166.40 : x
  2. Step 2: Convert to fraction form
    531.62/797.42 = 166.40/x
  3. Step 3: Cross multiply
    531.62x = 797.42 × 166.40
  4. Step 4: Simplify right side
    531.62x = 132,690.69
  5. Step 5: Solve for x
    x = 132,690.69/531.62
  6. Step 6: Final answer
    x = 249.60

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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.