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Finding the Fourth Proportional to 259.11, 387.82 and 190.61

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Solution

The fourth proportional to 259.11, 387.82 and 190.61 is: 285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.11 : 387.82 = 190.61 : x
  2. Step 2: Convert to fraction form
    259.11/387.82 = 190.61/x
  3. Step 3: Cross multiply
    259.11x = 387.82 × 190.61
  4. Step 4: Simplify right side
    259.11x = 73,921.42
  5. Step 5: Solve for x
    x = 73,921.42/259.11
  6. Step 6: Final answer
    x = 285.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.