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Finding the Fourth Proportional to 148.86, 223.17 and 80.42

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Solution

The fourth proportional to 148.86, 223.17 and 80.42 is: 120.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.86 : 223.17 = 80.42 : x
  2. Step 2: Convert to fraction form
    148.86/223.17 = 80.42/x
  3. Step 3: Cross multiply
    148.86x = 223.17 × 80.42
  4. Step 4: Simplify right side
    148.86x = 17,946.22
  5. Step 5: Solve for x
    x = 17,946.22/148.86
  6. Step 6: Final answer
    x = 120.56

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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.