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Finding the Fourth Proportional to 247.97, 342.56 and 204.77

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Solution

The fourth proportional to 247.97, 342.56 and 204.77 is: 282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.97 : 342.56 = 204.77 : x
  2. Step 2: Convert to fraction form
    247.97/342.56 = 204.77/x
  3. Step 3: Cross multiply
    247.97x = 342.56 × 204.77
  4. Step 4: Simplify right side
    247.97x = 70,146.01
  5. Step 5: Solve for x
    x = 70,146.01/247.97
  6. Step 6: Final answer
    x = 282.88

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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.