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Finding the Fourth Proportional to 324.20, 484.10 and 254.95

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Solution

The fourth proportional to 324.20, 484.10 and 254.95 is: 380.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.20 : 484.10 = 254.95 : x
  2. Step 2: Convert to fraction form
    324.20/484.10 = 254.95/x
  3. Step 3: Cross multiply
    324.20x = 484.10 × 254.95
  4. Step 4: Simplify right side
    324.20x = 123,420.72
  5. Step 5: Solve for x
    x = 123,420.72/324.20
  6. Step 6: Final answer
    x = 380.69

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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.