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Finding the Fourth Proportional to 324.14, 483.86 and 278.78

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Solution

The fourth proportional to 324.14, 483.86 and 278.78 is: 416.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.14 : 483.86 = 278.78 : x
  2. Step 2: Convert to fraction form
    324.14/483.86 = 278.78/x
  3. Step 3: Cross multiply
    324.14x = 483.86 × 278.78
  4. Step 4: Simplify right side
    324.14x = 134,890.49
  5. Step 5: Solve for x
    x = 134,890.49/324.14
  6. Step 6: Final answer
    x = 416.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.