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Finding the Fourth Proportional to 353.23, 531.92 and 308.11

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Solution

The fourth proportional to 353.23, 531.92 and 308.11 is: 463.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.23 : 531.92 = 308.11 : x
  2. Step 2: Convert to fraction form
    353.23/531.92 = 308.11/x
  3. Step 3: Cross multiply
    353.23x = 531.92 × 308.11
  4. Step 4: Simplify right side
    353.23x = 163,889.87
  5. Step 5: Solve for x
    x = 163,889.87/353.23
  6. Step 6: Final answer
    x = 463.97

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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.