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Finding the Fourth Proportional to 324.32, 445.30 and 315.86

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Solution

The fourth proportional to 324.32, 445.30 and 315.86 is: 433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.32 : 445.30 = 315.86 : x
  2. Step 2: Convert to fraction form
    324.32/445.30 = 315.86/x
  3. Step 3: Cross multiply
    324.32x = 445.30 × 315.86
  4. Step 4: Simplify right side
    324.32x = 140,654.92
  5. Step 5: Solve for x
    x = 140,654.92/324.32
  6. Step 6: Final answer
    x = 433.69

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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.