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Finding the Fourth Proportional to 300.56, 413.62 and 278.24

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Solution

The fourth proportional to 300.56, 413.62 and 278.24 is: 382.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 413.62 = 278.24 : x
  2. Step 2: Convert to fraction form
    300.56/413.62 = 278.24/x
  3. Step 3: Cross multiply
    300.56x = 413.62 × 278.24
  4. Step 4: Simplify right side
    300.56x = 115,082.87
  5. Step 5: Solve for x
    x = 115,082.87/300.56
  6. Step 6: Final answer
    x = 382.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.