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Finding the Fourth Proportional to 146.91, 220.25 and 89.15

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Solution

The fourth proportional to 146.91, 220.25 and 89.15 is: 133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.91 : 220.25 = 89.15 : x
  2. Step 2: Convert to fraction form
    146.91/220.25 = 89.15/x
  3. Step 3: Cross multiply
    146.91x = 220.25 × 89.15
  4. Step 4: Simplify right side
    146.91x = 19,633.74
  5. Step 5: Solve for x
    x = 19,633.74/146.91
  6. Step 6: Final answer
    x = 133.64

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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.