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Finding the Fourth Proportional to 206.15, 308.81 and 119.48

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Solution

The fourth proportional to 206.15, 308.81 and 119.48 is: 178.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.15 : 308.81 = 119.48 : x
  2. Step 2: Convert to fraction form
    206.15/308.81 = 119.48/x
  3. Step 3: Cross multiply
    206.15x = 308.81 × 119.48
  4. Step 4: Simplify right side
    206.15x = 36,895.37
  5. Step 5: Solve for x
    x = 36,895.37/206.15
  6. Step 6: Final answer
    x = 178.98

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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.