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Finding the Fourth Proportional to 240.96, 359.81 and 191.66

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Solution

The fourth proportional to 240.96, 359.81 and 191.66 is: 286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.96 : 359.81 = 191.66 : x
  2. Step 2: Convert to fraction form
    240.96/359.81 = 191.66/x
  3. Step 3: Cross multiply
    240.96x = 359.81 × 191.66
  4. Step 4: Simplify right side
    240.96x = 68,961.18
  5. Step 5: Solve for x
    x = 68,961.18/240.96
  6. Step 6: Final answer
    x = 286.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.