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Finding the Fourth Proportional to 191.11, 286.51 and 69.31

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Solution

The fourth proportional to 191.11, 286.51 and 69.31 is: 103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.11 : 286.51 = 69.31 : x
  2. Step 2: Convert to fraction form
    191.11/286.51 = 69.31/x
  3. Step 3: Cross multiply
    191.11x = 286.51 × 69.31
  4. Step 4: Simplify right side
    191.11x = 19,858.01
  5. Step 5: Solve for x
    x = 19,858.01/191.11
  6. Step 6: Final answer
    x = 103.91

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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.