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Finding the Fourth Proportional to 342.76, 511.67 and 331.33

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Solution

The fourth proportional to 342.76, 511.67 and 331.33 is: 494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.76 : 511.67 = 331.33 : x
  2. Step 2: Convert to fraction form
    342.76/511.67 = 331.33/x
  3. Step 3: Cross multiply
    342.76x = 511.67 × 331.33
  4. Step 4: Simplify right side
    342.76x = 169,531.62
  5. Step 5: Solve for x
    x = 169,531.62/342.76
  6. Step 6: Final answer
    x = 494.61

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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.