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Finding the Fourth Proportional to 276.42, 413.74 and 146.24

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Solution

The fourth proportional to 276.42, 413.74 and 146.24 is: 218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 413.74 = 146.24 : x
  2. Step 2: Convert to fraction form
    276.42/413.74 = 146.24/x
  3. Step 3: Cross multiply
    276.42x = 413.74 × 146.24
  4. Step 4: Simplify right side
    276.42x = 60,502.54
  5. Step 5: Solve for x
    x = 60,502.54/276.42
  6. Step 6: Final answer
    x = 218.88

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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.