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Finding the Fourth Proportional to 238.71, 358.10 and 76.35

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Solution

The fourth proportional to 238.71, 358.10 and 76.35 is: 114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.71 : 358.10 = 76.35 : x
  2. Step 2: Convert to fraction form
    238.71/358.10 = 76.35/x
  3. Step 3: Cross multiply
    238.71x = 358.10 × 76.35
  4. Step 4: Simplify right side
    238.71x = 27,340.94
  5. Step 5: Solve for x
    x = 27,340.94/238.71
  6. Step 6: Final answer
    x = 114.54

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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.