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Finding the Fourth Proportional to 142.96, 197.58 and 114.16

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Solution

The fourth proportional to 142.96, 197.58 and 114.16 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.96 : 197.58 = 114.16 : x
  2. Step 2: Convert to fraction form
    142.96/197.58 = 114.16/x
  3. Step 3: Cross multiply
    142.96x = 197.58 × 114.16
  4. Step 4: Simplify right side
    142.96x = 22,555.73
  5. Step 5: Solve for x
    x = 22,555.73/142.96
  6. Step 6: Final answer
    x = 157.78

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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.