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Finding the Fourth Proportional to 298.92, 413.10 and 255.72

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Solution

The fourth proportional to 298.92, 413.10 and 255.72 is: 353.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.92 : 413.10 = 255.72 : x
  2. Step 2: Convert to fraction form
    298.92/413.10 = 255.72/x
  3. Step 3: Cross multiply
    298.92x = 413.10 × 255.72
  4. Step 4: Simplify right side
    298.92x = 105,637.93
  5. Step 5: Solve for x
    x = 105,637.93/298.92
  6. Step 6: Final answer
    x = 353.40

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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.