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Finding the Fourth Proportional to 146.05, 217.77 and 140.78

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Solution

The fourth proportional to 146.05, 217.77 and 140.78 is: 209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.05 : 217.77 = 140.78 : x
  2. Step 2: Convert to fraction form
    146.05/217.77 = 140.78/x
  3. Step 3: Cross multiply
    146.05x = 217.77 × 140.78
  4. Step 4: Simplify right side
    146.05x = 30,657.66
  5. Step 5: Solve for x
    x = 30,657.66/146.05
  6. Step 6: Final answer
    x = 209.91

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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.