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Finding the Fourth Proportional to 146.26, 218.30 and 125.61

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Solution

The fourth proportional to 146.26, 218.30 and 125.61 is: 187.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.26 : 218.30 = 125.61 : x
  2. Step 2: Convert to fraction form
    146.26/218.30 = 125.61/x
  3. Step 3: Cross multiply
    146.26x = 218.30 × 125.61
  4. Step 4: Simplify right side
    146.26x = 27,420.66
  5. Step 5: Solve for x
    x = 27,420.66/146.26
  6. Step 6: Final answer
    x = 187.48

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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.