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Finding the Fourth Proportional to 77.36, 106.60 and 55.49

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Solution

The fourth proportional to 77.36, 106.60 and 55.49 is: 76.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.36 : 106.60 = 55.49 : x
  2. Step 2: Convert to fraction form
    77.36/106.60 = 55.49/x
  3. Step 3: Cross multiply
    77.36x = 106.60 × 55.49
  4. Step 4: Simplify right side
    77.36x = 5,914.84
  5. Step 5: Solve for x
    x = 5,914.84/77.36
  6. Step 6: Final answer
    x = 76.46

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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.