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Finding the Fourth Proportional to 194.92, 294.07 and 184.78

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Solution

The fourth proportional to 194.92, 294.07 and 184.78 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.92 : 294.07 = 184.78 : x
  2. Step 2: Convert to fraction form
    194.92/294.07 = 184.78/x
  3. Step 3: Cross multiply
    194.92x = 294.07 × 184.78
  4. Step 4: Simplify right side
    194.92x = 54,338.25
  5. Step 5: Solve for x
    x = 54,338.25/194.92
  6. Step 6: Final answer
    x = 278.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.