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Finding the Fourth Proportional to 489.32, 674.98 and 349.28

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Solution

The fourth proportional to 489.32, 674.98 and 349.28 is: 481.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.32 : 674.98 = 349.28 : x
  2. Step 2: Convert to fraction form
    489.32/674.98 = 349.28/x
  3. Step 3: Cross multiply
    489.32x = 674.98 × 349.28
  4. Step 4: Simplify right side
    489.32x = 235,757.01
  5. Step 5: Solve for x
    x = 235,757.01/489.32
  6. Step 6: Final answer
    x = 481.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.