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Finding the Fourth Proportional to 309.46, 426.95 and 189.79

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Solution

The fourth proportional to 309.46, 426.95 and 189.79 is: 261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 426.95 = 189.79 : x
  2. Step 2: Convert to fraction form
    309.46/426.95 = 189.79/x
  3. Step 3: Cross multiply
    309.46x = 426.95 × 189.79
  4. Step 4: Simplify right side
    309.46x = 81,027.76
  5. Step 5: Solve for x
    x = 81,027.76/309.46
  6. Step 6: Final answer
    x = 261.84

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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.