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Finding the Fourth Proportional to 113.28, 156.21 and 96.96

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Solution

The fourth proportional to 113.28, 156.21 and 96.96 is: 133.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.28 : 156.21 = 96.96 : x
  2. Step 2: Convert to fraction form
    113.28/156.21 = 96.96/x
  3. Step 3: Cross multiply
    113.28x = 156.21 × 96.96
  4. Step 4: Simplify right side
    113.28x = 15,146.12
  5. Step 5: Solve for x
    x = 15,146.12/113.28
  6. Step 6: Final answer
    x = 133.71

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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.