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Finding the Fourth Proportional to 324.96, 487.61 and 186.45

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Solution

The fourth proportional to 324.96, 487.61 and 186.45 is: 279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.96 : 487.61 = 186.45 : x
  2. Step 2: Convert to fraction form
    324.96/487.61 = 186.45/x
  3. Step 3: Cross multiply
    324.96x = 487.61 × 186.45
  4. Step 4: Simplify right side
    324.96x = 90,916.57
  5. Step 5: Solve for x
    x = 90,916.57/324.96
  6. Step 6: Final answer
    x = 279.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.