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Finding the Fourth Proportional to 324.68, 445.65 and 288.92

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Solution

The fourth proportional to 324.68, 445.65 and 288.92 is: 396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.68 : 445.65 = 288.92 : x
  2. Step 2: Convert to fraction form
    324.68/445.65 = 288.92/x
  3. Step 3: Cross multiply
    324.68x = 445.65 × 288.92
  4. Step 4: Simplify right side
    324.68x = 128,757.20
  5. Step 5: Solve for x
    x = 128,757.20/324.68
  6. Step 6: Final answer
    x = 396.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.