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Finding the Fourth Proportional to 147.70, 221.25 and 96.28

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Solution

The fourth proportional to 147.70, 221.25 and 96.28 is: 144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.70 : 221.25 = 96.28 : x
  2. Step 2: Convert to fraction form
    147.70/221.25 = 96.28/x
  3. Step 3: Cross multiply
    147.70x = 221.25 × 96.28
  4. Step 4: Simplify right side
    147.70x = 21,301.95
  5. Step 5: Solve for x
    x = 21,301.95/147.70
  6. Step 6: Final answer
    x = 144.22

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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.