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Finding the Fourth Proportional to 354.88, 489.78 and 199.66

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Solution

The fourth proportional to 354.88, 489.78 and 199.66 is: 275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.88 : 489.78 = 199.66 : x
  2. Step 2: Convert to fraction form
    354.88/489.78 = 199.66/x
  3. Step 3: Cross multiply
    354.88x = 489.78 × 199.66
  4. Step 4: Simplify right side
    354.88x = 97,789.47
  5. Step 5: Solve for x
    x = 97,789.47/354.88
  6. Step 6: Final answer
    x = 275.56

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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.