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Finding the Fourth Proportional to 387.59, 583.68 and 280.13

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Solution

The fourth proportional to 387.59, 583.68 and 280.13 is: 421.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.59 : 583.68 = 280.13 : x
  2. Step 2: Convert to fraction form
    387.59/583.68 = 280.13/x
  3. Step 3: Cross multiply
    387.59x = 583.68 × 280.13
  4. Step 4: Simplify right side
    387.59x = 163,505.58
  5. Step 5: Solve for x
    x = 163,505.58/387.59
  6. Step 6: Final answer
    x = 421.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.