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Finding the Fourth Proportional to 147.97, 222.02 and 79.48

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Solution

The fourth proportional to 147.97, 222.02 and 79.48 is: 119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.97 : 222.02 = 79.48 : x
  2. Step 2: Convert to fraction form
    147.97/222.02 = 79.48/x
  3. Step 3: Cross multiply
    147.97x = 222.02 × 79.48
  4. Step 4: Simplify right side
    147.97x = 17,645.20
  5. Step 5: Solve for x
    x = 17,645.20/147.97
  6. Step 6: Final answer
    x = 119.25

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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.