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Finding the Fourth Proportional to 130.38, 194.84 and 113.98

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Solution

The fourth proportional to 130.38, 194.84 and 113.98 is: 170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.38 : 194.84 = 113.98 : x
  2. Step 2: Convert to fraction form
    130.38/194.84 = 113.98/x
  3. Step 3: Cross multiply
    130.38x = 194.84 × 113.98
  4. Step 4: Simplify right side
    130.38x = 22,207.29
  5. Step 5: Solve for x
    x = 22,207.29/130.38
  6. Step 6: Final answer
    x = 170.33

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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.