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Finding the Fourth Proportional to 324.42, 446.37 and 315.34

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Solution

The fourth proportional to 324.42, 446.37 and 315.34 is: 433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.42 : 446.37 = 315.34 : x
  2. Step 2: Convert to fraction form
    324.42/446.37 = 315.34/x
  3. Step 3: Cross multiply
    324.42x = 446.37 × 315.34
  4. Step 4: Simplify right side
    324.42x = 140,758.32
  5. Step 5: Solve for x
    x = 140,758.32/324.42
  6. Step 6: Final answer
    x = 433.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.