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Finding the Fourth Proportional to 238.96, 358.37 and 76.61

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Solution

The fourth proportional to 238.96, 358.37 and 76.61 is: 114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 358.37 = 76.61 : x
  2. Step 2: Convert to fraction form
    238.96/358.37 = 76.61/x
  3. Step 3: Cross multiply
    238.96x = 358.37 × 76.61
  4. Step 4: Simplify right side
    238.96x = 27,455.53
  5. Step 5: Solve for x
    x = 27,455.53/238.96
  6. Step 6: Final answer
    x = 114.90

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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.