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Finding the Fourth Proportional to 385.80, 532.42 and 287.88

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Solution

The fourth proportional to 385.80, 532.42 and 287.88 is: 397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.80 : 532.42 = 287.88 : x
  2. Step 2: Convert to fraction form
    385.80/532.42 = 287.88/x
  3. Step 3: Cross multiply
    385.80x = 532.42 × 287.88
  4. Step 4: Simplify right side
    385.80x = 153,273.07
  5. Step 5: Solve for x
    x = 153,273.07/385.80
  6. Step 6: Final answer
    x = 397.29

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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.