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Finding the Fourth Proportional to 355.15, 489.19 and 255.42

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Solution

The fourth proportional to 355.15, 489.19 and 255.42 is: 351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.15 : 489.19 = 255.42 : x
  2. Step 2: Convert to fraction form
    355.15/489.19 = 255.42/x
  3. Step 3: Cross multiply
    355.15x = 489.19 × 255.42
  4. Step 4: Simplify right side
    355.15x = 124,948.91
  5. Step 5: Solve for x
    x = 124,948.91/355.15
  6. Step 6: Final answer
    x = 351.82

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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.