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Finding the Fourth Proportional to 251.57, 377.88 and 193.61

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Solution

The fourth proportional to 251.57, 377.88 and 193.61 is: 290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.57 : 377.88 = 193.61 : x
  2. Step 2: Convert to fraction form
    251.57/377.88 = 193.61/x
  3. Step 3: Cross multiply
    251.57x = 377.88 × 193.61
  4. Step 4: Simplify right side
    251.57x = 73,160.53
  5. Step 5: Solve for x
    x = 73,160.53/251.57
  6. Step 6: Final answer
    x = 290.81

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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.