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Finding the Fourth Proportional to 353.46, 527.96 and 298.79

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Solution

The fourth proportional to 353.46, 527.96 and 298.79 is: 446.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.46 : 527.96 = 298.79 : x
  2. Step 2: Convert to fraction form
    353.46/527.96 = 298.79/x
  3. Step 3: Cross multiply
    353.46x = 527.96 × 298.79
  4. Step 4: Simplify right side
    353.46x = 157,745.03
  5. Step 5: Solve for x
    x = 157,745.03/353.46
  6. Step 6: Final answer
    x = 446.29

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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.