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Finding the Fourth Proportional to 324.78, 448.06 and 226.58

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Solution

The fourth proportional to 324.78, 448.06 and 226.58 is: 312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.78 : 448.06 = 226.58 : x
  2. Step 2: Convert to fraction form
    324.78/448.06 = 226.58/x
  3. Step 3: Cross multiply
    324.78x = 448.06 × 226.58
  4. Step 4: Simplify right side
    324.78x = 101,521.43
  5. Step 5: Solve for x
    x = 101,521.43/324.78
  6. Step 6: Final answer
    x = 312.59

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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.