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Finding the Fourth Proportional to 425.34, 638.03 and 136.75

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Solution

The fourth proportional to 425.34, 638.03 and 136.75 is: 205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.34 : 638.03 = 136.75 : x
  2. Step 2: Convert to fraction form
    425.34/638.03 = 136.75/x
  3. Step 3: Cross multiply
    425.34x = 638.03 × 136.75
  4. Step 4: Simplify right side
    425.34x = 87,250.60
  5. Step 5: Solve for x
    x = 87,250.60/425.34
  6. Step 6: Final answer
    x = 205.13

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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.