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Finding the Fourth Proportional to 239.73, 358.92 and 148.20

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Solution

The fourth proportional to 239.73, 358.92 and 148.20 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.73 : 358.92 = 148.20 : x
  2. Step 2: Convert to fraction form
    239.73/358.92 = 148.20/x
  3. Step 3: Cross multiply
    239.73x = 358.92 × 148.20
  4. Step 4: Simplify right side
    239.73x = 53,191.94
  5. Step 5: Solve for x
    x = 53,191.94/239.73
  6. Step 6: Final answer
    x = 221.88

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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.