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Finding the Fourth Proportional to 251.55, 376.97 and 186.80

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Solution

The fourth proportional to 251.55, 376.97 and 186.80 is: 279.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.55 : 376.97 = 186.80 : x
  2. Step 2: Convert to fraction form
    251.55/376.97 = 186.80/x
  3. Step 3: Cross multiply
    251.55x = 376.97 × 186.80
  4. Step 4: Simplify right side
    251.55x = 70,415.18
  5. Step 5: Solve for x
    x = 70,415.18/251.55
  6. Step 6: Final answer
    x = 279.93

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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.