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Finding the Fourth Proportional to 324.61, 484.49 and 287.65

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Solution

The fourth proportional to 324.61, 484.49 and 287.65 is: 429.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.61 : 484.49 = 287.65 : x
  2. Step 2: Convert to fraction form
    324.61/484.49 = 287.65/x
  3. Step 3: Cross multiply
    324.61x = 484.49 × 287.65
  4. Step 4: Simplify right side
    324.61x = 139,363.55
  5. Step 5: Solve for x
    x = 139,363.55/324.61
  6. Step 6: Final answer
    x = 429.33

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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.