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Finding the Fourth Proportional to 425.38, 638.16 and 136.75

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Solution

The fourth proportional to 425.38, 638.16 and 136.75 is: 205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.38 : 638.16 = 136.75 : x
  2. Step 2: Convert to fraction form
    425.38/638.16 = 136.75/x
  3. Step 3: Cross multiply
    425.38x = 638.16 × 136.75
  4. Step 4: Simplify right side
    425.38x = 87,268.38
  5. Step 5: Solve for x
    x = 87,268.38/425.38
  6. Step 6: Final answer
    x = 205.15

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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.