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Finding the Fourth Proportional to 275.09, 411.86 and 183.61

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Solution

The fourth proportional to 275.09, 411.86 and 183.61 is: 274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.09 : 411.86 = 183.61 : x
  2. Step 2: Convert to fraction form
    275.09/411.86 = 183.61/x
  3. Step 3: Cross multiply
    275.09x = 411.86 × 183.61
  4. Step 4: Simplify right side
    275.09x = 75,621.61
  5. Step 5: Solve for x
    x = 75,621.61/275.09
  6. Step 6: Final answer
    x = 274.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.