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Finding the Fourth Proportional to 324.65, 487.79 and 305.21

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Solution

The fourth proportional to 324.65, 487.79 and 305.21 is: 458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.65 : 487.79 = 305.21 : x
  2. Step 2: Convert to fraction form
    324.65/487.79 = 305.21/x
  3. Step 3: Cross multiply
    324.65x = 487.79 × 305.21
  4. Step 4: Simplify right side
    324.65x = 148,874.42
  5. Step 5: Solve for x
    x = 148,874.42/324.65
  6. Step 6: Final answer
    x = 458.58

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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.