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Finding the Fourth Proportional to 130.14, 178.61 and 126.54

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Solution

The fourth proportional to 130.14, 178.61 and 126.54 is: 173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.14 : 178.61 = 126.54 : x
  2. Step 2: Convert to fraction form
    130.14/178.61 = 126.54/x
  3. Step 3: Cross multiply
    130.14x = 178.61 × 126.54
  4. Step 4: Simplify right side
    130.14x = 22,600.68
  5. Step 5: Solve for x
    x = 22,600.68/130.14
  6. Step 6: Final answer
    x = 173.66

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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.