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Finding the Fourth Proportional to 278.11, 383.81 and 199.43

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Solution

The fourth proportional to 278.11, 383.81 and 199.43 is: 275.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.11 : 383.81 = 199.43 : x
  2. Step 2: Convert to fraction form
    278.11/383.81 = 199.43/x
  3. Step 3: Cross multiply
    278.11x = 383.81 × 199.43
  4. Step 4: Simplify right side
    278.11x = 76,543.23
  5. Step 5: Solve for x
    x = 76,543.23/278.11
  6. Step 6: Final answer
    x = 275.23

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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.