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Finding the Fourth Proportional to 531.87, 798.17 and 207.27

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Solution

The fourth proportional to 531.87, 798.17 and 207.27 is: 311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.87 : 798.17 = 207.27 : x
  2. Step 2: Convert to fraction form
    531.87/798.17 = 207.27/x
  3. Step 3: Cross multiply
    531.87x = 798.17 × 207.27
  4. Step 4: Simplify right side
    531.87x = 165,435.66
  5. Step 5: Solve for x
    x = 165,435.66/531.87
  6. Step 6: Final answer
    x = 311.05

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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.