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Finding the Fourth Proportional to 278.49, 383.97 and 199.59

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Solution

The fourth proportional to 278.49, 383.97 and 199.59 is: 275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.49 : 383.97 = 199.59 : x
  2. Step 2: Convert to fraction form
    278.49/383.97 = 199.59/x
  3. Step 3: Cross multiply
    278.49x = 383.97 × 199.59
  4. Step 4: Simplify right side
    278.49x = 76,636.57
  5. Step 5: Solve for x
    x = 76,636.57/278.49
  6. Step 6: Final answer
    x = 275.19

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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.