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Finding the Fourth Proportional to 185.74, 278.29 and 150.86

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Solution

The fourth proportional to 185.74, 278.29 and 150.86 is: 226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.74 : 278.29 = 150.86 : x
  2. Step 2: Convert to fraction form
    185.74/278.29 = 150.86/x
  3. Step 3: Cross multiply
    185.74x = 278.29 × 150.86
  4. Step 4: Simplify right side
    185.74x = 41,982.87
  5. Step 5: Solve for x
    x = 41,982.87/185.74
  6. Step 6: Final answer
    x = 226.03

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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.