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Finding the Fourth Proportional to 251.92, 377.88 and 187.84

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Solution

The fourth proportional to 251.92, 377.88 and 187.84 is: 281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.92 : 377.88 = 187.84 : x
  2. Step 2: Convert to fraction form
    251.92/377.88 = 187.84/x
  3. Step 3: Cross multiply
    251.92x = 377.88 × 187.84
  4. Step 4: Simplify right side
    251.92x = 70,980.98
  5. Step 5: Solve for x
    x = 70,980.98/251.92
  6. Step 6: Final answer
    x = 281.76

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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.