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Finding the Fourth Proportional to 201.53, 302.01 and 98.61

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Solution

The fourth proportional to 201.53, 302.01 and 98.61 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.53 : 302.01 = 98.61 : x
  2. Step 2: Convert to fraction form
    201.53/302.01 = 98.61/x
  3. Step 3: Cross multiply
    201.53x = 302.01 × 98.61
  4. Step 4: Simplify right side
    201.53x = 29,781.21
  5. Step 5: Solve for x
    x = 29,781.21/201.53
  6. Step 6: Final answer
    x = 147.78

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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.