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Finding the Fourth Proportional to 276.16, 413.84 and 154.24

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Solution

The fourth proportional to 276.16, 413.84 and 154.24 is: 231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.16 : 413.84 = 154.24 : x
  2. Step 2: Convert to fraction form
    276.16/413.84 = 154.24/x
  3. Step 3: Cross multiply
    276.16x = 413.84 × 154.24
  4. Step 4: Simplify right side
    276.16x = 63,830.68
  5. Step 5: Solve for x
    x = 63,830.68/276.16
  6. Step 6: Final answer
    x = 231.14

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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.