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Finding the Fourth Proportional to 262.65, 394.11 and 191.10

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Solution

The fourth proportional to 262.65, 394.11 and 191.10 is: 286.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.65 : 394.11 = 191.10 : x
  2. Step 2: Convert to fraction form
    262.65/394.11 = 191.10/x
  3. Step 3: Cross multiply
    262.65x = 394.11 × 191.10
  4. Step 4: Simplify right side
    262.65x = 75,314.42
  5. Step 5: Solve for x
    x = 75,314.42/262.65
  6. Step 6: Final answer
    x = 286.75

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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.