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Finding the Fourth Proportional to 298.68, 413.27 and 259.95

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Solution

The fourth proportional to 298.68, 413.27 and 259.95 is: 359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.68 : 413.27 = 259.95 : x
  2. Step 2: Convert to fraction form
    298.68/413.27 = 259.95/x
  3. Step 3: Cross multiply
    298.68x = 413.27 × 259.95
  4. Step 4: Simplify right side
    298.68x = 107,426.17
  5. Step 5: Solve for x
    x = 107,426.17/298.68
  6. Step 6: Final answer
    x = 359.68

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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.