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Finding the Fourth Proportional to 278.53, 418.35 and 213.83

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Solution

The fourth proportional to 278.53, 418.35 and 213.83 is: 321.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.53 : 418.35 = 213.83 : x
  2. Step 2: Convert to fraction form
    278.53/418.35 = 213.83/x
  3. Step 3: Cross multiply
    278.53x = 418.35 × 213.83
  4. Step 4: Simplify right side
    278.53x = 89,456.06
  5. Step 5: Solve for x
    x = 89,456.06/278.53
  6. Step 6: Final answer
    x = 321.17

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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.