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Finding the Fourth Proportional to 531.97, 798.26 and 207.30

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Solution

The fourth proportional to 531.97, 798.26 and 207.30 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.97 : 798.26 = 207.30 : x
  2. Step 2: Convert to fraction form
    531.97/798.26 = 207.30/x
  3. Step 3: Cross multiply
    531.97x = 798.26 × 207.30
  4. Step 4: Simplify right side
    531.97x = 165,479.30
  5. Step 5: Solve for x
    x = 165,479.30/531.97
  6. Step 6: Final answer
    x = 311.07

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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.