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Finding the Fourth Proportional to 148.65, 223.08 and 71.61

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Solution

The fourth proportional to 148.65, 223.08 and 71.61 is: 107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.65 : 223.08 = 71.61 : x
  2. Step 2: Convert to fraction form
    148.65/223.08 = 71.61/x
  3. Step 3: Cross multiply
    148.65x = 223.08 × 71.61
  4. Step 4: Simplify right side
    148.65x = 15,974.76
  5. Step 5: Solve for x
    x = 15,974.76/148.65
  6. Step 6: Final answer
    x = 107.47

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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.