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Finding the Fourth Proportional to 130.65, 194.97 and 113.49

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Solution

The fourth proportional to 130.65, 194.97 and 113.49 is: 169.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.65 : 194.97 = 113.49 : x
  2. Step 2: Convert to fraction form
    130.65/194.97 = 113.49/x
  3. Step 3: Cross multiply
    130.65x = 194.97 × 113.49
  4. Step 4: Simplify right side
    130.65x = 22,127.15
  5. Step 5: Solve for x
    x = 22,127.15/130.65
  6. Step 6: Final answer
    x = 169.36

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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.