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Finding the Fourth Proportional to 324.54, 483.17 and 322.92

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Solution

The fourth proportional to 324.54, 483.17 and 322.92 is: 480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.54 : 483.17 = 322.92 : x
  2. Step 2: Convert to fraction form
    324.54/483.17 = 322.92/x
  3. Step 3: Cross multiply
    324.54x = 483.17 × 322.92
  4. Step 4: Simplify right side
    324.54x = 156,023.64
  5. Step 5: Solve for x
    x = 156,023.64/324.54
  6. Step 6: Final answer
    x = 480.75

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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.