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Finding the Fourth Proportional to 251.10, 376.73 and 77.76

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Solution

The fourth proportional to 251.10, 376.73 and 77.76 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.10 : 376.73 = 77.76 : x
  2. Step 2: Convert to fraction form
    251.10/376.73 = 77.76/x
  3. Step 3: Cross multiply
    251.10x = 376.73 × 77.76
  4. Step 4: Simplify right side
    251.10x = 29,294.14
  5. Step 5: Solve for x
    x = 29,294.14/251.10
  6. Step 6: Final answer
    x = 116.66

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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.