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Finding the Fourth Proportional to 130.11, 178.50 and 126.69

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Solution

The fourth proportional to 130.11, 178.50 and 126.69 is: 173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.11 : 178.50 = 126.69 : x
  2. Step 2: Convert to fraction form
    130.11/178.50 = 126.69/x
  3. Step 3: Cross multiply
    130.11x = 178.50 × 126.69
  4. Step 4: Simplify right side
    130.11x = 22,614.17
  5. Step 5: Solve for x
    x = 22,614.17/130.11
  6. Step 6: Final answer
    x = 173.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.