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Finding the Fourth Proportional to 355.26, 489.98 and 267.78

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Solution

The fourth proportional to 355.26, 489.98 and 267.78 is: 369.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.26 : 489.98 = 267.78 : x
  2. Step 2: Convert to fraction form
    355.26/489.98 = 267.78/x
  3. Step 3: Cross multiply
    355.26x = 489.98 × 267.78
  4. Step 4: Simplify right side
    355.26x = 131,206.84
  5. Step 5: Solve for x
    x = 131,206.84/355.26
  6. Step 6: Final answer
    x = 369.33

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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.