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Finding the Fourth Proportional to 159.67, 220.51 and 142.49

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Solution

The fourth proportional to 159.67, 220.51 and 142.49 is: 196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.67 : 220.51 = 142.49 : x
  2. Step 2: Convert to fraction form
    159.67/220.51 = 142.49/x
  3. Step 3: Cross multiply
    159.67x = 220.51 × 142.49
  4. Step 4: Simplify right side
    159.67x = 31,418.65
  5. Step 5: Solve for x
    x = 31,418.65/159.67
  6. Step 6: Final answer
    x = 196.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.