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Finding the Fourth Proportional to 148.62, 221.67 and 140.16

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Solution

The fourth proportional to 148.62, 221.67 and 140.16 is: 209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.62 : 221.67 = 140.16 : x
  2. Step 2: Convert to fraction form
    148.62/221.67 = 140.16/x
  3. Step 3: Cross multiply
    148.62x = 221.67 × 140.16
  4. Step 4: Simplify right side
    148.62x = 31,069.27
  5. Step 5: Solve for x
    x = 31,069.27/148.62
  6. Step 6: Final answer
    x = 209.05

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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.