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Finding the Fourth Proportional to 531.97, 797.48 and 207.26

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Solution

The fourth proportional to 531.97, 797.48 and 207.26 is: 310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.97 : 797.48 = 207.26 : x
  2. Step 2: Convert to fraction form
    531.97/797.48 = 207.26/x
  3. Step 3: Cross multiply
    531.97x = 797.48 × 207.26
  4. Step 4: Simplify right side
    531.97x = 165,285.70
  5. Step 5: Solve for x
    x = 165,285.70/531.97
  6. Step 6: Final answer
    x = 310.70

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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.