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Finding the Fourth Proportional to 276.52, 413.33 and 270.76

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Solution

The fourth proportional to 276.52, 413.33 and 270.76 is: 404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 413.33 = 270.76 : x
  2. Step 2: Convert to fraction form
    276.52/413.33 = 270.76/x
  3. Step 3: Cross multiply
    276.52x = 413.33 × 270.76
  4. Step 4: Simplify right side
    276.52x = 111,913.23
  5. Step 5: Solve for x
    x = 111,913.23/276.52
  6. Step 6: Final answer
    x = 404.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.