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Finding the Fourth Proportional to 297.18, 410.19 and 269

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Solution

The fourth proportional to 297.18, 410.19 and 269 is: 371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.18 : 410.19 = 269 : x
  2. Step 2: Convert to fraction form
    297.18/410.19 = 269/x
  3. Step 3: Cross multiply
    297.18x = 410.19 × 269
  4. Step 4: Simplify right side
    297.18x = 110,341.11
  5. Step 5: Solve for x
    x = 110,341.11/297.18
  6. Step 6: Final answer
    x = 371.29

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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.