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Finding the Fourth Proportional to 250.22, 374.60 and 185.66

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Solution

The fourth proportional to 250.22, 374.60 and 185.66 is: 277.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.22 : 374.60 = 185.66 : x
  2. Step 2: Convert to fraction form
    250.22/374.60 = 185.66/x
  3. Step 3: Cross multiply
    250.22x = 374.60 × 185.66
  4. Step 4: Simplify right side
    250.22x = 69,548.24
  5. Step 5: Solve for x
    x = 69,548.24/250.22
  6. Step 6: Final answer
    x = 277.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.