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Finding the Fourth Proportional to 159.16, 220.14 and 142.78

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Solution

The fourth proportional to 159.16, 220.14 and 142.78 is: 197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.16 : 220.14 = 142.78 : x
  2. Step 2: Convert to fraction form
    159.16/220.14 = 142.78/x
  3. Step 3: Cross multiply
    159.16x = 220.14 × 142.78
  4. Step 4: Simplify right side
    159.16x = 31,431.59
  5. Step 5: Solve for x
    x = 31,431.59/159.16
  6. Step 6: Final answer
    x = 197.48

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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.