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Finding the Fourth Proportional to 331.97, 498.74 and 313.27

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Solution

The fourth proportional to 331.97, 498.74 and 313.27 is: 470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 498.74 = 313.27 : x
  2. Step 2: Convert to fraction form
    331.97/498.74 = 313.27/x
  3. Step 3: Cross multiply
    331.97x = 498.74 × 313.27
  4. Step 4: Simplify right side
    331.97x = 156,240.28
  5. Step 5: Solve for x
    x = 156,240.28/331.97
  6. Step 6: Final answer
    x = 470.65

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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.