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Finding the Fourth Proportional to 324.79, 448.25 and 272.24

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Solution

The fourth proportional to 324.79, 448.25 and 272.24 is: 375.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.79 : 448.25 = 272.24 : x
  2. Step 2: Convert to fraction form
    324.79/448.25 = 272.24/x
  3. Step 3: Cross multiply
    324.79x = 448.25 × 272.24
  4. Step 4: Simplify right side
    324.79x = 122,031.58
  5. Step 5: Solve for x
    x = 122,031.58/324.79
  6. Step 6: Final answer
    x = 375.72

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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.