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Finding the Fourth Proportional to 130.38, 194.55 and 127.29

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Solution

The fourth proportional to 130.38, 194.55 and 127.29 is: 189.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.38 : 194.55 = 127.29 : x
  2. Step 2: Convert to fraction form
    130.38/194.55 = 127.29/x
  3. Step 3: Cross multiply
    130.38x = 194.55 × 127.29
  4. Step 4: Simplify right side
    130.38x = 24,765.16
  5. Step 5: Solve for x
    x = 24,765.16/130.38
  6. Step 6: Final answer
    x = 189.94

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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.