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Finding the Fourth Proportional to 194.85, 290.86 and 180.58

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Solution

The fourth proportional to 194.85, 290.86 and 180.58 is: 269.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.85 : 290.86 = 180.58 : x
  2. Step 2: Convert to fraction form
    194.85/290.86 = 180.58/x
  3. Step 3: Cross multiply
    194.85x = 290.86 × 180.58
  4. Step 4: Simplify right side
    194.85x = 52,523.50
  5. Step 5: Solve for x
    x = 52,523.50/194.85
  6. Step 6: Final answer
    x = 269.56

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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.