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Finding the Fourth Proportional to 55.27, 76.81 and 54.82

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Solution

The fourth proportional to 55.27, 76.81 and 54.82 is: 76.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.27 : 76.81 = 54.82 : x
  2. Step 2: Convert to fraction form
    55.27/76.81 = 54.82/x
  3. Step 3: Cross multiply
    55.27x = 76.81 × 54.82
  4. Step 4: Simplify right side
    55.27x = 4,210.72
  5. Step 5: Solve for x
    x = 4,210.72/55.27
  6. Step 6: Final answer
    x = 76.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.