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Finding the Fourth Proportional to 324.28, 447.59 and 307.75

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Solution

The fourth proportional to 324.28, 447.59 and 307.75 is: 424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.28 : 447.59 = 307.75 : x
  2. Step 2: Convert to fraction form
    324.28/447.59 = 307.75/x
  3. Step 3: Cross multiply
    324.28x = 447.59 × 307.75
  4. Step 4: Simplify right side
    324.28x = 137,746.31
  5. Step 5: Solve for x
    x = 137,746.31/324.28
  6. Step 6: Final answer
    x = 424.78

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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.