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Finding the Fourth Proportional to 324.16, 487.17 and 269.65

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Solution

The fourth proportional to 324.16, 487.17 and 269.65 is: 405.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.16 : 487.17 = 269.65 : x
  2. Step 2: Convert to fraction form
    324.16/487.17 = 269.65/x
  3. Step 3: Cross multiply
    324.16x = 487.17 × 269.65
  4. Step 4: Simplify right side
    324.16x = 131,366.00
  5. Step 5: Solve for x
    x = 131,366.00/324.16
  6. Step 6: Final answer
    x = 405.25

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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.