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Finding the Fourth Proportional to 77.72, 107.26 and 44.98

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Solution

The fourth proportional to 77.72, 107.26 and 44.98 is: 62.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.72 : 107.26 = 44.98 : x
  2. Step 2: Convert to fraction form
    77.72/107.26 = 44.98/x
  3. Step 3: Cross multiply
    77.72x = 107.26 × 44.98
  4. Step 4: Simplify right side
    77.72x = 4,824.55
  5. Step 5: Solve for x
    x = 4,824.55/77.72
  6. Step 6: Final answer
    x = 62.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.