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Finding the Fourth Proportional to 54.95, 76.19 and 49.55

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Solution

The fourth proportional to 54.95, 76.19 and 49.55 is: 68.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.95 : 76.19 = 49.55 : x
  2. Step 2: Convert to fraction form
    54.95/76.19 = 49.55/x
  3. Step 3: Cross multiply
    54.95x = 76.19 × 49.55
  4. Step 4: Simplify right side
    54.95x = 3,775.21
  5. Step 5: Solve for x
    x = 3,775.21/54.95
  6. Step 6: Final answer
    x = 68.70

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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.