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Finding the Fourth Proportional to 324.72, 448.12 and 206.72

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Solution

The fourth proportional to 324.72, 448.12 and 206.72 is: 285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.72 : 448.12 = 206.72 : x
  2. Step 2: Convert to fraction form
    324.72/448.12 = 206.72/x
  3. Step 3: Cross multiply
    324.72x = 448.12 × 206.72
  4. Step 4: Simplify right side
    324.72x = 92,635.37
  5. Step 5: Solve for x
    x = 92,635.37/324.72
  6. Step 6: Final answer
    x = 285.28

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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.