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Finding the Fourth Proportional to 354.24, 489.12 and 276.80

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Solution

The fourth proportional to 354.24, 489.12 and 276.80 is: 382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.24 : 489.12 = 276.80 : x
  2. Step 2: Convert to fraction form
    354.24/489.12 = 276.80/x
  3. Step 3: Cross multiply
    354.24x = 489.12 × 276.80
  4. Step 4: Simplify right side
    354.24x = 135,388.42
  5. Step 5: Solve for x
    x = 135,388.42/354.24
  6. Step 6: Final answer
    x = 382.19

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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.