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Finding the Fourth Proportional to 324.90, 449.01 and 242.28

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Solution

The fourth proportional to 324.90, 449.01 and 242.28 is: 334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.90 : 449.01 = 242.28 : x
  2. Step 2: Convert to fraction form
    324.90/449.01 = 242.28/x
  3. Step 3: Cross multiply
    324.90x = 449.01 × 242.28
  4. Step 4: Simplify right side
    324.90x = 108,786.14
  5. Step 5: Solve for x
    x = 108,786.14/324.90
  6. Step 6: Final answer
    x = 334.83

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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.