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Finding the Fourth Proportional to 294.95, 406.84 and 189.85

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Solution

The fourth proportional to 294.95, 406.84 and 189.85 is: 261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.95 : 406.84 = 189.85 : x
  2. Step 2: Convert to fraction form
    294.95/406.84 = 189.85/x
  3. Step 3: Cross multiply
    294.95x = 406.84 × 189.85
  4. Step 4: Simplify right side
    294.95x = 77,238.57
  5. Step 5: Solve for x
    x = 77,238.57/294.95
  6. Step 6: Final answer
    x = 261.87

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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.