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Finding the Fourth Proportional to 311.24, 469.18 and 268.26

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Solution

The fourth proportional to 311.24, 469.18 and 268.26 is: 404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.24 : 469.18 = 268.26 : x
  2. Step 2: Convert to fraction form
    311.24/469.18 = 268.26/x
  3. Step 3: Cross multiply
    311.24x = 469.18 × 268.26
  4. Step 4: Simplify right side
    311.24x = 125,863.06
  5. Step 5: Solve for x
    x = 125,863.06/311.24
  6. Step 6: Final answer
    x = 404.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.