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Finding the Fourth Proportional to 331.56, 494.42 and 308.47

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Solution

The fourth proportional to 331.56, 494.42 and 308.47 is: 459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.56 : 494.42 = 308.47 : x
  2. Step 2: Convert to fraction form
    331.56/494.42 = 308.47/x
  3. Step 3: Cross multiply
    331.56x = 494.42 × 308.47
  4. Step 4: Simplify right side
    331.56x = 152,513.74
  5. Step 5: Solve for x
    x = 152,513.74/331.56
  6. Step 6: Final answer
    x = 459.99

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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.