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Finding the Fourth Proportional to 578.97, 868.79 and 214.01

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Solution

The fourth proportional to 578.97, 868.79 and 214.01 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.97 : 868.79 = 214.01 : x
  2. Step 2: Convert to fraction form
    578.97/868.79 = 214.01/x
  3. Step 3: Cross multiply
    578.97x = 868.79 × 214.01
  4. Step 4: Simplify right side
    578.97x = 185,932.45
  5. Step 5: Solve for x
    x = 185,932.45/578.97
  6. Step 6: Final answer
    x = 321.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.