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Finding the Fourth Proportional to 113.38, 169.80 and 90.57

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Solution

The fourth proportional to 113.38, 169.80 and 90.57 is: 135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.38 : 169.80 = 90.57 : x
  2. Step 2: Convert to fraction form
    113.38/169.80 = 90.57/x
  3. Step 3: Cross multiply
    113.38x = 169.80 × 90.57
  4. Step 4: Simplify right side
    113.38x = 15,379.21
  5. Step 5: Solve for x
    x = 15,379.21/113.38
  6. Step 6: Final answer
    x = 135.64

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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.