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Finding the Fourth Proportional to 297.73, 410.87 and 179.70

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Solution

The fourth proportional to 297.73, 410.87 and 179.70 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.73 : 410.87 = 179.70 : x
  2. Step 2: Convert to fraction form
    297.73/410.87 = 179.70/x
  3. Step 3: Cross multiply
    297.73x = 410.87 × 179.70
  4. Step 4: Simplify right side
    297.73x = 73,832.71
  5. Step 5: Solve for x
    x = 73,832.71/297.73
  6. Step 6: Final answer
    x = 247.99

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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.