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Finding the Fourth Proportional to 324.80, 484.82 and 281.76

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Solution

The fourth proportional to 324.80, 484.82 and 281.76 is: 420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.80 : 484.82 = 281.76 : x
  2. Step 2: Convert to fraction form
    324.80/484.82 = 281.76/x
  3. Step 3: Cross multiply
    324.80x = 484.82 × 281.76
  4. Step 4: Simplify right side
    324.80x = 136,601.47
  5. Step 5: Solve for x
    x = 136,601.47/324.80
  6. Step 6: Final answer
    x = 420.58

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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.