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Finding the Fourth Proportional to 147.25, 219.76 and 137.47

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Solution

The fourth proportional to 147.25, 219.76 and 137.47 is: 205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.25 : 219.76 = 137.47 : x
  2. Step 2: Convert to fraction form
    147.25/219.76 = 137.47/x
  3. Step 3: Cross multiply
    147.25x = 219.76 × 137.47
  4. Step 4: Simplify right side
    147.25x = 30,209.72
  5. Step 5: Solve for x
    x = 30,209.72/147.25
  6. Step 6: Final answer
    x = 205.16

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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.