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Finding the Fourth Proportional to 98.25, 147.33 and 29.75

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Solution

The fourth proportional to 98.25, 147.33 and 29.75 is: 44.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.25 : 147.33 = 29.75 : x
  2. Step 2: Convert to fraction form
    98.25/147.33 = 29.75/x
  3. Step 3: Cross multiply
    98.25x = 147.33 × 29.75
  4. Step 4: Simplify right side
    98.25x = 4,383.07
  5. Step 5: Solve for x
    x = 4,383.07/98.25
  6. Step 6: Final answer
    x = 44.61

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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.