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Finding the Fourth Proportional to 385.97, 531.72 and 319.30

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Solution

The fourth proportional to 385.97, 531.72 and 319.30 is: 439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.97 : 531.72 = 319.30 : x
  2. Step 2: Convert to fraction form
    385.97/531.72 = 319.30/x
  3. Step 3: Cross multiply
    385.97x = 531.72 × 319.30
  4. Step 4: Simplify right side
    385.97x = 169,776.87
  5. Step 5: Solve for x
    x = 169,776.87/385.97
  6. Step 6: Final answer
    x = 439.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.