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Finding the Fourth Proportional to 142.77, 196.83 and 115.23

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Solution

The fourth proportional to 142.77, 196.83 and 115.23 is: 158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.77 : 196.83 = 115.23 : x
  2. Step 2: Convert to fraction form
    142.77/196.83 = 115.23/x
  3. Step 3: Cross multiply
    142.77x = 196.83 × 115.23
  4. Step 4: Simplify right side
    142.77x = 22,680.72
  5. Step 5: Solve for x
    x = 22,680.72/142.77
  6. Step 6: Final answer
    x = 158.86

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