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Finding the Fourth Proportional to 194.26, 291.32 and 163.42

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Solution

The fourth proportional to 194.26, 291.32 and 163.42 is: 245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.26 : 291.32 = 163.42 : x
  2. Step 2: Convert to fraction form
    194.26/291.32 = 163.42/x
  3. Step 3: Cross multiply
    194.26x = 291.32 × 163.42
  4. Step 4: Simplify right side
    194.26x = 47,607.19
  5. Step 5: Solve for x
    x = 47,607.19/194.26
  6. Step 6: Final answer
    x = 245.07

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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.