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Finding the Fourth Proportional to 313.24, 467.43 and 276.78

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Solution

The fourth proportional to 313.24, 467.43 and 276.78 is: 413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.24 : 467.43 = 276.78 : x
  2. Step 2: Convert to fraction form
    313.24/467.43 = 276.78/x
  3. Step 3: Cross multiply
    313.24x = 467.43 × 276.78
  4. Step 4: Simplify right side
    313.24x = 129,375.28
  5. Step 5: Solve for x
    x = 129,375.28/313.24
  6. Step 6: Final answer
    x = 413.02

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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.