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Finding the Fourth Proportional to 251.80, 376.09 and 194.02

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Solution

The fourth proportional to 251.80, 376.09 and 194.02 is: 289.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.80 : 376.09 = 194.02 : x
  2. Step 2: Convert to fraction form
    251.80/376.09 = 194.02/x
  3. Step 3: Cross multiply
    251.80x = 376.09 × 194.02
  4. Step 4: Simplify right side
    251.80x = 72,968.98
  5. Step 5: Solve for x
    x = 72,968.98/251.80
  6. Step 6: Final answer
    x = 289.79

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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.