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Finding the Fourth Proportional to 332.78, 499.24 and 268.20

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Solution

The fourth proportional to 332.78, 499.24 and 268.20 is: 402.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.78 : 499.24 = 268.20 : x
  2. Step 2: Convert to fraction form
    332.78/499.24 = 268.20/x
  3. Step 3: Cross multiply
    332.78x = 499.24 × 268.20
  4. Step 4: Simplify right side
    332.78x = 133,895.05
  5. Step 5: Solve for x
    x = 133,895.05/332.78
  6. Step 6: Final answer
    x = 402.35

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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.