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Finding the Fourth Proportional to 238.78, 358.09 and 76.42

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Solution

The fourth proportional to 238.78, 358.09 and 76.42 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 358.09 = 76.42 : x
  2. Step 2: Convert to fraction form
    238.78/358.09 = 76.42/x
  3. Step 3: Cross multiply
    238.78x = 358.09 × 76.42
  4. Step 4: Simplify right side
    238.78x = 27,364.86
  5. Step 5: Solve for x
    x = 27,364.86/238.78
  6. Step 6: Final answer
    x = 114.61

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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.