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Finding the Fourth Proportional to 148.29, 220.87 and 141.62

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Solution

The fourth proportional to 148.29, 220.87 and 141.62 is: 210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.29 : 220.87 = 141.62 : x
  2. Step 2: Convert to fraction form
    148.29/220.87 = 141.62/x
  3. Step 3: Cross multiply
    148.29x = 220.87 × 141.62
  4. Step 4: Simplify right side
    148.29x = 31,279.75
  5. Step 5: Solve for x
    x = 31,279.75/148.29
  6. Step 6: Final answer
    x = 210.94

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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.