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Finding the Fourth Proportional to 201.32, 301.86 and 98.48

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Solution

The fourth proportional to 201.32, 301.86 and 98.48 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.32 : 301.86 = 98.48 : x
  2. Step 2: Convert to fraction form
    201.32/301.86 = 98.48/x
  3. Step 3: Cross multiply
    201.32x = 301.86 × 98.48
  4. Step 4: Simplify right side
    201.32x = 29,727.17
  5. Step 5: Solve for x
    x = 29,727.17/201.32
  6. Step 6: Final answer
    x = 147.66

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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.