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Finding the Fourth Proportional to 148.68, 221.67 and 140.13

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Solution

The fourth proportional to 148.68, 221.67 and 140.13 is: 208.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.68 : 221.67 = 140.13 : x
  2. Step 2: Convert to fraction form
    148.68/221.67 = 140.13/x
  3. Step 3: Cross multiply
    148.68x = 221.67 × 140.13
  4. Step 4: Simplify right side
    148.68x = 31,062.62
  5. Step 5: Solve for x
    x = 31,062.62/148.68
  6. Step 6: Final answer
    x = 208.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.