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Finding the Fourth Proportional to 251.69, 377.42 and 114.55

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Solution

The fourth proportional to 251.69, 377.42 and 114.55 is: 171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.69 : 377.42 = 114.55 : x
  2. Step 2: Convert to fraction form
    251.69/377.42 = 114.55/x
  3. Step 3: Cross multiply
    251.69x = 377.42 × 114.55
  4. Step 4: Simplify right side
    251.69x = 43,231.94
  5. Step 5: Solve for x
    x = 43,231.94/251.69
  6. Step 6: Final answer
    x = 171.77

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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.