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Finding the Fourth Proportional to 332.78, 496.08 and 314.54

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Solution

The fourth proportional to 332.78, 496.08 and 314.54 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.78 : 496.08 = 314.54 : x
  2. Step 2: Convert to fraction form
    332.78/496.08 = 314.54/x
  3. Step 3: Cross multiply
    332.78x = 496.08 × 314.54
  4. Step 4: Simplify right side
    332.78x = 156,035.43
  5. Step 5: Solve for x
    x = 156,035.43/332.78
  6. Step 6: Final answer
    x = 468.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.