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Finding the Fourth Proportional to 331.38, 498.92 and 293.08

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Solution

The fourth proportional to 331.38, 498.92 and 293.08 is: 441.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.38 : 498.92 = 293.08 : x
  2. Step 2: Convert to fraction form
    331.38/498.92 = 293.08/x
  3. Step 3: Cross multiply
    331.38x = 498.92 × 293.08
  4. Step 4: Simplify right side
    331.38x = 146,223.47
  5. Step 5: Solve for x
    x = 146,223.47/331.38
  6. Step 6: Final answer
    x = 441.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.