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Finding the Fourth Proportional to 247.47, 341.47 and 158.97

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Solution

The fourth proportional to 247.47, 341.47 and 158.97 is: 219.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.47 : 341.47 = 158.97 : x
  2. Step 2: Convert to fraction form
    247.47/341.47 = 158.97/x
  3. Step 3: Cross multiply
    247.47x = 341.47 × 158.97
  4. Step 4: Simplify right side
    247.47x = 54,283.09
  5. Step 5: Solve for x
    x = 54,283.09/247.47
  6. Step 6: Final answer
    x = 219.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.