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Finding the Fourth Proportional to 278.25, 383.83 and 194.19

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Solution

The fourth proportional to 278.25, 383.83 and 194.19 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.25 : 383.83 = 194.19 : x
  2. Step 2: Convert to fraction form
    278.25/383.83 = 194.19/x
  3. Step 3: Cross multiply
    278.25x = 383.83 × 194.19
  4. Step 4: Simplify right side
    278.25x = 74,535.95
  5. Step 5: Solve for x
    x = 74,535.95/278.25
  6. Step 6: Final answer
    x = 267.87

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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.