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Finding the Fourth Proportional to 251.77, 377.65 and 78.44

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Solution

The fourth proportional to 251.77, 377.65 and 78.44 is: 117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.77 : 377.65 = 78.44 : x
  2. Step 2: Convert to fraction form
    251.77/377.65 = 78.44/x
  3. Step 3: Cross multiply
    251.77x = 377.65 × 78.44
  4. Step 4: Simplify right side
    251.77x = 29,622.87
  5. Step 5: Solve for x
    x = 29,622.87/251.77
  6. Step 6: Final answer
    x = 117.66

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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.