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Finding the Fourth Proportional to 55.02, 82.15 and 54.44

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Solution

The fourth proportional to 55.02, 82.15 and 54.44 is: 81.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.02 : 82.15 = 54.44 : x
  2. Step 2: Convert to fraction form
    55.02/82.15 = 54.44/x
  3. Step 3: Cross multiply
    55.02x = 82.15 × 54.44
  4. Step 4: Simplify right side
    55.02x = 4,472.25
  5. Step 5: Solve for x
    x = 4,472.25/55.02
  6. Step 6: Final answer
    x = 81.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.