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Finding the Fourth Proportional to 98.28, 147.33 and 61.26

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Solution

The fourth proportional to 98.28, 147.33 and 61.26 is: 91.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.28 : 147.33 = 61.26 : x
  2. Step 2: Convert to fraction form
    98.28/147.33 = 61.26/x
  3. Step 3: Cross multiply
    98.28x = 147.33 × 61.26
  4. Step 4: Simplify right side
    98.28x = 9,025.44
  5. Step 5: Solve for x
    x = 9,025.44/98.28
  6. Step 6: Final answer
    x = 91.83

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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.