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Finding the Fourth Proportional to 297, 409.20 and 247.74

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Solution

The fourth proportional to 297, 409.20 and 247.74 is: 341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297 : 409.20 = 247.74 : x
  2. Step 2: Convert to fraction form
    297/409.20 = 247.74/x
  3. Step 3: Cross multiply
    297x = 409.20 × 247.74
  4. Step 4: Simplify right side
    297x = 101,375.21
  5. Step 5: Solve for x
    x = 101,375.21/297
  6. Step 6: Final answer
    x = 341.33

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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.