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Finding the Fourth Proportional to 324.79, 448.20 and 278.11

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Solution

The fourth proportional to 324.79, 448.20 and 278.11 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.79 : 448.20 = 278.11 : x
  2. Step 2: Convert to fraction form
    324.79/448.20 = 278.11/x
  3. Step 3: Cross multiply
    324.79x = 448.20 × 278.11
  4. Step 4: Simplify right side
    324.79x = 124,648.90
  5. Step 5: Solve for x
    x = 124,648.90/324.79
  6. Step 6: Final answer
    x = 383.78

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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.