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Finding the Fourth Proportional to 324.79, 446.03 and 278.16

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Solution

The fourth proportional to 324.79, 446.03 and 278.16 is: 381.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.79 : 446.03 = 278.16 : x
  2. Step 2: Convert to fraction form
    324.79/446.03 = 278.16/x
  3. Step 3: Cross multiply
    324.79x = 446.03 × 278.16
  4. Step 4: Simplify right side
    324.79x = 124,067.70
  5. Step 5: Solve for x
    x = 124,067.70/324.79
  6. Step 6: Final answer
    x = 381.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.