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Finding the Fourth Proportional to 247.61, 341.70 and 142.71

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Solution

The fourth proportional to 247.61, 341.70 and 142.71 is: 196.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.61 : 341.70 = 142.71 : x
  2. Step 2: Convert to fraction form
    247.61/341.70 = 142.71/x
  3. Step 3: Cross multiply
    247.61x = 341.70 × 142.71
  4. Step 4: Simplify right side
    247.61x = 48,764.15
  5. Step 5: Solve for x
    x = 48,764.15/247.61
  6. Step 6: Final answer
    x = 196.94

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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.