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Finding the Fourth Proportional to 54.55, 82.16 and 44.53

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Solution

The fourth proportional to 54.55, 82.16 and 44.53 is: 67.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.55 : 82.16 = 44.53 : x
  2. Step 2: Convert to fraction form
    54.55/82.16 = 44.53/x
  3. Step 3: Cross multiply
    54.55x = 82.16 × 44.53
  4. Step 4: Simplify right side
    54.55x = 3,658.49
  5. Step 5: Solve for x
    x = 3,658.49/54.55
  6. Step 6: Final answer
    x = 67.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.