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Finding the Fourth Proportional to 113.70, 169.71 and 98.31

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Solution

The fourth proportional to 113.70, 169.71 and 98.31 is: 146.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.70 : 169.71 = 98.31 : x
  2. Step 2: Convert to fraction form
    113.70/169.71 = 98.31/x
  3. Step 3: Cross multiply
    113.70x = 169.71 × 98.31
  4. Step 4: Simplify right side
    113.70x = 16,684.19
  5. Step 5: Solve for x
    x = 16,684.19/113.70
  6. Step 6: Final answer
    x = 146.74

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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.