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Finding the Fourth Proportional to 385.39, 532.07 and 280.50

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Solution

The fourth proportional to 385.39, 532.07 and 280.50 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.39 : 532.07 = 280.50 : x
  2. Step 2: Convert to fraction form
    385.39/532.07 = 280.50/x
  3. Step 3: Cross multiply
    385.39x = 532.07 × 280.50
  4. Step 4: Simplify right side
    385.39x = 149,245.64
  5. Step 5: Solve for x
    x = 149,245.64/385.39
  6. Step 6: Final answer
    x = 387.26

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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.