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Finding the Fourth Proportional to 146.69, 220.02 and 95.19

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Solution

The fourth proportional to 146.69, 220.02 and 95.19 is: 142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.69 : 220.02 = 95.19 : x
  2. Step 2: Convert to fraction form
    146.69/220.02 = 95.19/x
  3. Step 3: Cross multiply
    146.69x = 220.02 × 95.19
  4. Step 4: Simplify right side
    146.69x = 20,943.70
  5. Step 5: Solve for x
    x = 20,943.70/146.69
  6. Step 6: Final answer
    x = 142.78

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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.