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Finding the Fourth Proportional to 132.96, 200.13 and 113.13

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Solution

The fourth proportional to 132.96, 200.13 and 113.13 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.96 : 200.13 = 113.13 : x
  2. Step 2: Convert to fraction form
    132.96/200.13 = 113.13/x
  3. Step 3: Cross multiply
    132.96x = 200.13 × 113.13
  4. Step 4: Simplify right side
    132.96x = 22,640.71
  5. Step 5: Solve for x
    x = 22,640.71/132.96
  6. Step 6: Final answer
    x = 170.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.