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Finding the Fourth Proportional to 194.98, 290.74 and 186.88

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Solution

The fourth proportional to 194.98, 290.74 and 186.88 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.98 : 290.74 = 186.88 : x
  2. Step 2: Convert to fraction form
    194.98/290.74 = 186.88/x
  3. Step 3: Cross multiply
    194.98x = 290.74 × 186.88
  4. Step 4: Simplify right side
    194.98x = 54,333.49
  5. Step 5: Solve for x
    x = 54,333.49/194.98
  6. Step 6: Final answer
    x = 278.66

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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.