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Finding the Fourth Proportional to 331.78, 494.16 and 314.43

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Solution

The fourth proportional to 331.78, 494.16 and 314.43 is: 468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.78 : 494.16 = 314.43 : x
  2. Step 2: Convert to fraction form
    331.78/494.16 = 314.43/x
  3. Step 3: Cross multiply
    331.78x = 494.16 × 314.43
  4. Step 4: Simplify right side
    331.78x = 155,381.76
  5. Step 5: Solve for x
    x = 155,381.76/331.78
  6. Step 6: Final answer
    x = 468.33

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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.