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Finding the Fourth Proportional to 531.92, 797.86 and 166.70

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Solution

The fourth proportional to 531.92, 797.86 and 166.70 is: 250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.92 : 797.86 = 166.70 : x
  2. Step 2: Convert to fraction form
    531.92/797.86 = 166.70/x
  3. Step 3: Cross multiply
    531.92x = 797.86 × 166.70
  4. Step 4: Simplify right side
    531.92x = 133,003.26
  5. Step 5: Solve for x
    x = 133,003.26/531.92
  6. Step 6: Final answer
    x = 250.04

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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.