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Finding the Fourth Proportional to 425.38, 586.96 and 238.85

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Solution

The fourth proportional to 425.38, 586.96 and 238.85 is: 329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.38 : 586.96 = 238.85 : x
  2. Step 2: Convert to fraction form
    425.38/586.96 = 238.85/x
  3. Step 3: Cross multiply
    425.38x = 586.96 × 238.85
  4. Step 4: Simplify right side
    425.38x = 140,191.27
  5. Step 5: Solve for x
    x = 140,191.27/425.38
  6. Step 6: Final answer
    x = 329.57

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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.