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Finding the Fourth Proportional to 251.96, 378.25 and 149.90

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Solution

The fourth proportional to 251.96, 378.25 and 149.90 is: 225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 378.25 = 149.90 : x
  2. Step 2: Convert to fraction form
    251.96/378.25 = 149.90/x
  3. Step 3: Cross multiply
    251.96x = 378.25 × 149.90
  4. Step 4: Simplify right side
    251.96x = 56,698.93
  5. Step 5: Solve for x
    x = 56,698.93/251.96
  6. Step 6: Final answer
    x = 225.03

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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.