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Finding the Fourth Proportional to 499.40, 748.82 and 268.22

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Solution

The fourth proportional to 499.40, 748.82 and 268.22 is: 402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.40 : 748.82 = 268.22 : x
  2. Step 2: Convert to fraction form
    499.40/748.82 = 268.22/x
  3. Step 3: Cross multiply
    499.40x = 748.82 × 268.22
  4. Step 4: Simplify right side
    499.40x = 200,848.50
  5. Step 5: Solve for x
    x = 200,848.50/499.40
  6. Step 6: Final answer
    x = 402.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.