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Finding the Fourth Proportional to 194.08, 266.08 and 189.12

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Solution

The fourth proportional to 194.08, 266.08 and 189.12 is: 259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.08 : 266.08 = 189.12 : x
  2. Step 2: Convert to fraction form
    194.08/266.08 = 189.12/x
  3. Step 3: Cross multiply
    194.08x = 266.08 × 189.12
  4. Step 4: Simplify right side
    194.08x = 50,321.05
  5. Step 5: Solve for x
    x = 50,321.05/194.08
  6. Step 6: Final answer
    x = 259.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.