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Finding the Fourth Proportional to 135.13, 202.42 and 113.40

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Solution

The fourth proportional to 135.13, 202.42 and 113.40 is: 169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.13 : 202.42 = 113.40 : x
  2. Step 2: Convert to fraction form
    135.13/202.42 = 113.40/x
  3. Step 3: Cross multiply
    135.13x = 202.42 × 113.40
  4. Step 4: Simplify right side
    135.13x = 22,954.43
  5. Step 5: Solve for x
    x = 22,954.43/135.13
  6. Step 6: Final answer
    x = 169.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.