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Finding the Fourth Proportional to 159.92, 220.68 and 142.64

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Solution

The fourth proportional to 159.92, 220.68 and 142.64 is: 196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.92 : 220.68 = 142.64 : x
  2. Step 2: Convert to fraction form
    159.92/220.68 = 142.64/x
  3. Step 3: Cross multiply
    159.92x = 220.68 × 142.64
  4. Step 4: Simplify right side
    159.92x = 31,477.80
  5. Step 5: Solve for x
    x = 31,477.80/159.92
  6. Step 6: Final answer
    x = 196.83

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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.