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Finding the Fourth Proportional to 354.64, 489.10 and 280.82

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Solution

The fourth proportional to 354.64, 489.10 and 280.82 is: 387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.64 : 489.10 = 280.82 : x
  2. Step 2: Convert to fraction form
    354.64/489.10 = 280.82/x
  3. Step 3: Cross multiply
    354.64x = 489.10 × 280.82
  4. Step 4: Simplify right side
    354.64x = 137,349.06
  5. Step 5: Solve for x
    x = 137,349.06/354.64
  6. Step 6: Final answer
    x = 387.29

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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.