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Finding the Fourth Proportional to 324.37, 484.82 and 282.91

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Solution

The fourth proportional to 324.37, 484.82 and 282.91 is: 422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.37 : 484.82 = 282.91 : x
  2. Step 2: Convert to fraction form
    324.37/484.82 = 282.91/x
  3. Step 3: Cross multiply
    324.37x = 484.82 × 282.91
  4. Step 4: Simplify right side
    324.37x = 137,160.43
  5. Step 5: Solve for x
    x = 137,160.43/324.37
  6. Step 6: Final answer
    x = 422.85

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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.