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Finding the Fourth Proportional to 324.40, 484.24 and 285.52

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Solution

The fourth proportional to 324.40, 484.24 and 285.52 is: 426.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.40 : 484.24 = 285.52 : x
  2. Step 2: Convert to fraction form
    324.40/484.24 = 285.52/x
  3. Step 3: Cross multiply
    324.40x = 484.24 × 285.52
  4. Step 4: Simplify right side
    324.40x = 138,260.20
  5. Step 5: Solve for x
    x = 138,260.20/324.40
  6. Step 6: Final answer
    x = 426.20

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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.