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Finding the Fourth Proportional to 98.30, 147.21 and 76.61

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Solution

The fourth proportional to 98.30, 147.21 and 76.61 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.30 : 147.21 = 76.61 : x
  2. Step 2: Convert to fraction form
    98.30/147.21 = 76.61/x
  3. Step 3: Cross multiply
    98.30x = 147.21 × 76.61
  4. Step 4: Simplify right side
    98.30x = 11,277.02
  5. Step 5: Solve for x
    x = 11,277.02/98.30
  6. Step 6: Final answer
    x = 114.73

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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.