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Finding the Fourth Proportional to 142.46, 196.72 and 113.48

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Solution

The fourth proportional to 142.46, 196.72 and 113.48 is: 156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.46 : 196.72 = 113.48 : x
  2. Step 2: Convert to fraction form
    142.46/196.72 = 113.48/x
  3. Step 3: Cross multiply
    142.46x = 196.72 × 113.48
  4. Step 4: Simplify right side
    142.46x = 22,323.79
  5. Step 5: Solve for x
    x = 22,323.79/142.46
  6. Step 6: Final answer
    x = 156.70

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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.