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Finding the Fourth Proportional to 238.60, 358.17 and 123.31

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Solution

The fourth proportional to 238.60, 358.17 and 123.31 is: 185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.60 : 358.17 = 123.31 : x
  2. Step 2: Convert to fraction form
    238.60/358.17 = 123.31/x
  3. Step 3: Cross multiply
    238.60x = 358.17 × 123.31
  4. Step 4: Simplify right side
    238.60x = 44,165.94
  5. Step 5: Solve for x
    x = 44,165.94/238.60
  6. Step 6: Final answer
    x = 185.10

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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.