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Finding the Fourth Proportional to 262.34, 394.11 and 189.44

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Solution

The fourth proportional to 262.34, 394.11 and 189.44 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.34 : 394.11 = 189.44 : x
  2. Step 2: Convert to fraction form
    262.34/394.11 = 189.44/x
  3. Step 3: Cross multiply
    262.34x = 394.11 × 189.44
  4. Step 4: Simplify right side
    262.34x = 74,657.28
  5. Step 5: Solve for x
    x = 74,657.28/262.34
  6. Step 6: Final answer
    x = 284.59

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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.