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Finding the Fourth Proportional to 77.44, 116.14 and 36.88

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Solution

The fourth proportional to 77.44, 116.14 and 36.88 is: 55.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.44 : 116.14 = 36.88 : x
  2. Step 2: Convert to fraction form
    77.44/116.14 = 36.88/x
  3. Step 3: Cross multiply
    77.44x = 116.14 × 36.88
  4. Step 4: Simplify right side
    77.44x = 4,283.24
  5. Step 5: Solve for x
    x = 4,283.24/77.44
  6. Step 6: Final answer
    x = 55.31

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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.