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Finding the Fourth Proportional to 194.33, 290.11 and 187.58

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Solution

The fourth proportional to 194.33, 290.11 and 187.58 is: 280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.33 : 290.11 = 187.58 : x
  2. Step 2: Convert to fraction form
    194.33/290.11 = 187.58/x
  3. Step 3: Cross multiply
    194.33x = 290.11 × 187.58
  4. Step 4: Simplify right side
    194.33x = 54,417.90
  5. Step 5: Solve for x
    x = 54,417.90/194.33
  6. Step 6: Final answer
    x = 280.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.