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Finding the Fourth Proportional to 194.58, 290.49 and 187.83

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Solution

The fourth proportional to 194.58, 290.49 and 187.83 is: 280.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.58 : 290.49 = 187.83 : x
  2. Step 2: Convert to fraction form
    194.58/290.49 = 187.83/x
  3. Step 3: Cross multiply
    194.58x = 290.49 × 187.83
  4. Step 4: Simplify right side
    194.58x = 54,562.74
  5. Step 5: Solve for x
    x = 54,562.74/194.58
  6. Step 6: Final answer
    x = 280.41

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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.