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Finding the Fourth Proportional to 113.49, 169.54 and 90.71

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Solution

The fourth proportional to 113.49, 169.54 and 90.71 is: 135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.49 : 169.54 = 90.71 : x
  2. Step 2: Convert to fraction form
    113.49/169.54 = 90.71/x
  3. Step 3: Cross multiply
    113.49x = 169.54 × 90.71
  4. Step 4: Simplify right side
    113.49x = 15,377.67
  5. Step 5: Solve for x
    x = 15,377.67/113.49
  6. Step 6: Final answer
    x = 135.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.