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Finding the Fourth Proportional to 238.29, 328.85 and 138.71

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Solution

The fourth proportional to 238.29, 328.85 and 138.71 is: 191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.29 : 328.85 = 138.71 : x
  2. Step 2: Convert to fraction form
    238.29/328.85 = 138.71/x
  3. Step 3: Cross multiply
    238.29x = 328.85 × 138.71
  4. Step 4: Simplify right side
    238.29x = 45,614.36
  5. Step 5: Solve for x
    x = 45,614.36/238.29
  6. Step 6: Final answer
    x = 191.42

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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.