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Finding the Fourth Proportional to 331.43, 494.72 and 307

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Solution

The fourth proportional to 331.43, 494.72 and 307 is: 458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.43 : 494.72 = 307 : x
  2. Step 2: Convert to fraction form
    331.43/494.72 = 307/x
  3. Step 3: Cross multiply
    331.43x = 494.72 × 307
  4. Step 4: Simplify right side
    331.43x = 151,879.04
  5. Step 5: Solve for x
    x = 151,879.04/331.43
  6. Step 6: Final answer
    x = 458.25

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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.