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Finding the Fourth Proportional to 387.25, 580.88 and 159.25

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Solution

The fourth proportional to 387.25, 580.88 and 159.25 is: 238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.25 : 580.88 = 159.25 : x
  2. Step 2: Convert to fraction form
    387.25/580.88 = 159.25/x
  3. Step 3: Cross multiply
    387.25x = 580.88 × 159.25
  4. Step 4: Simplify right side
    387.25x = 92,505.14
  5. Step 5: Solve for x
    x = 92,505.14/387.25
  6. Step 6: Final answer
    x = 238.88

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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.