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Finding the Fourth Proportional to 194.30, 266.52 and 190.25

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Solution

The fourth proportional to 194.30, 266.52 and 190.25 is: 260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.30 : 266.52 = 190.25 : x
  2. Step 2: Convert to fraction form
    194.30/266.52 = 190.25/x
  3. Step 3: Cross multiply
    194.30x = 266.52 × 190.25
  4. Step 4: Simplify right side
    194.30x = 50,704.10
  5. Step 5: Solve for x
    x = 50,704.10/194.30
  6. Step 6: Final answer
    x = 260.96

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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.