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Finding the Fourth Proportional to 276.42, 413.09 and 184.35

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Solution

The fourth proportional to 276.42, 413.09 and 184.35 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 413.09 = 184.35 : x
  2. Step 2: Convert to fraction form
    276.42/413.09 = 184.35/x
  3. Step 3: Cross multiply
    276.42x = 413.09 × 184.35
  4. Step 4: Simplify right side
    276.42x = 76,153.60
  5. Step 5: Solve for x
    x = 76,153.60/276.42
  6. Step 6: Final answer
    x = 275.50

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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.