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Finding the Fourth Proportional to 146.86, 220.38 and 86.02

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Solution

The fourth proportional to 146.86, 220.38 and 86.02 is: 129.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.86 : 220.38 = 86.02 : x
  2. Step 2: Convert to fraction form
    146.86/220.38 = 86.02/x
  3. Step 3: Cross multiply
    146.86x = 220.38 × 86.02
  4. Step 4: Simplify right side
    146.86x = 18,957.09
  5. Step 5: Solve for x
    x = 18,957.09/146.86
  6. Step 6: Final answer
    x = 129.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.