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Finding the Fourth Proportional to 147.12, 219.22 and 137.82

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Solution

The fourth proportional to 147.12, 219.22 and 137.82 is: 205.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.12 : 219.22 = 137.82 : x
  2. Step 2: Convert to fraction form
    147.12/219.22 = 137.82/x
  3. Step 3: Cross multiply
    147.12x = 219.22 × 137.82
  4. Step 4: Simplify right side
    147.12x = 30,212.90
  5. Step 5: Solve for x
    x = 30,212.90/147.12
  6. Step 6: Final answer
    x = 205.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.