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Finding the Fourth Proportional to 146.20, 201.80 and 99.61

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Solution

The fourth proportional to 146.20, 201.80 and 99.61 is: 137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.20 : 201.80 = 99.61 : x
  2. Step 2: Convert to fraction form
    146.20/201.80 = 99.61/x
  3. Step 3: Cross multiply
    146.20x = 201.80 × 99.61
  4. Step 4: Simplify right side
    146.20x = 20,101.30
  5. Step 5: Solve for x
    x = 20,101.30/146.20
  6. Step 6: Final answer
    x = 137.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.