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Finding the Fourth Proportional to 208.20, 310.44 and 184.92

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Solution

The fourth proportional to 208.20, 310.44 and 184.92 is: 275.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.20 : 310.44 = 184.92 : x
  2. Step 2: Convert to fraction form
    208.20/310.44 = 184.92/x
  3. Step 3: Cross multiply
    208.20x = 310.44 × 184.92
  4. Step 4: Simplify right side
    208.20x = 57,406.56
  5. Step 5: Solve for x
    x = 57,406.56/208.20
  6. Step 6: Final answer
    x = 275.73

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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.