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Finding the Fourth Proportional to 276.14, 413.78 and 215.28

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Solution

The fourth proportional to 276.14, 413.78 and 215.28 is: 322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.14 : 413.78 = 215.28 : x
  2. Step 2: Convert to fraction form
    276.14/413.78 = 215.28/x
  3. Step 3: Cross multiply
    276.14x = 413.78 × 215.28
  4. Step 4: Simplify right side
    276.14x = 89,077.48
  5. Step 5: Solve for x
    x = 89,077.48/276.14
  6. Step 6: Final answer
    x = 322.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.