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Finding the Fourth Proportional to 238.46, 357.91 and 135.72

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Solution

The fourth proportional to 238.46, 357.91 and 135.72 is: 203.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.46 : 357.91 = 135.72 : x
  2. Step 2: Convert to fraction form
    238.46/357.91 = 135.72/x
  3. Step 3: Cross multiply
    238.46x = 357.91 × 135.72
  4. Step 4: Simplify right side
    238.46x = 48,575.21
  5. Step 5: Solve for x
    x = 48,575.21/238.46
  6. Step 6: Final answer
    x = 203.71

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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.