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Finding the Fourth Proportional to 354.78, 489.36 and 271.71

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Solution

The fourth proportional to 354.78, 489.36 and 271.71 is: 374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 489.36 = 271.71 : x
  2. Step 2: Convert to fraction form
    354.78/489.36 = 271.71/x
  3. Step 3: Cross multiply
    354.78x = 489.36 × 271.71
  4. Step 4: Simplify right side
    354.78x = 132,964.01
  5. Step 5: Solve for x
    x = 132,964.01/354.78
  6. Step 6: Final answer
    x = 374.78

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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.