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Finding the Fourth Proportional to 147.26, 221.90 and 122.15

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Solution

The fourth proportional to 147.26, 221.90 and 122.15 is: 184.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.26 : 221.90 = 122.15 : x
  2. Step 2: Convert to fraction form
    147.26/221.90 = 122.15/x
  3. Step 3: Cross multiply
    147.26x = 221.90 × 122.15
  4. Step 4: Simplify right side
    147.26x = 27,103.98
  5. Step 5: Solve for x
    x = 27,103.98/147.26
  6. Step 6: Final answer
    x = 184.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.