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Finding the Fourth Proportional to 276.79, 413.14 and 261.41

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Solution

The fourth proportional to 276.79, 413.14 and 261.41 is: 390.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.79 : 413.14 = 261.41 : x
  2. Step 2: Convert to fraction form
    276.79/413.14 = 261.41/x
  3. Step 3: Cross multiply
    276.79x = 413.14 × 261.41
  4. Step 4: Simplify right side
    276.79x = 108,000.40
  5. Step 5: Solve for x
    x = 108,000.40/276.79
  6. Step 6: Final answer
    x = 390.19

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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.