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Finding the Fourth Proportional to 194.10, 290.43 and 133.08

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Solution

The fourth proportional to 194.10, 290.43 and 133.08 is: 199.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.10 : 290.43 = 133.08 : x
  2. Step 2: Convert to fraction form
    194.10/290.43 = 133.08/x
  3. Step 3: Cross multiply
    194.10x = 290.43 × 133.08
  4. Step 4: Simplify right side
    194.10x = 38,650.42
  5. Step 5: Solve for x
    x = 38,650.42/194.10
  6. Step 6: Final answer
    x = 199.13

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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.