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Finding the Fourth Proportional to 324.47, 484.20 and 289.86

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Solution

The fourth proportional to 324.47, 484.20 and 289.86 is: 432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.47 : 484.20 = 289.86 : x
  2. Step 2: Convert to fraction form
    324.47/484.20 = 289.86/x
  3. Step 3: Cross multiply
    324.47x = 484.20 × 289.86
  4. Step 4: Simplify right side
    324.47x = 140,348.76
  5. Step 5: Solve for x
    x = 140,348.76/324.47
  6. Step 6: Final answer
    x = 432.55

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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.