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Finding the Fourth Proportional to 146.06, 218.03 and 126.86

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Solution

The fourth proportional to 146.06, 218.03 and 126.86 is: 189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.06 : 218.03 = 126.86 : x
  2. Step 2: Convert to fraction form
    146.06/218.03 = 126.86/x
  3. Step 3: Cross multiply
    146.06x = 218.03 × 126.86
  4. Step 4: Simplify right side
    146.06x = 27,658.20
  5. Step 5: Solve for x
    x = 27,658.20/146.06
  6. Step 6: Final answer
    x = 189.36

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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.