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Finding the Fourth Proportional to 54.95, 76.35 and 54.39

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Solution

The fourth proportional to 54.95, 76.35 and 54.39 is: 75.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.95 : 76.35 = 54.39 : x
  2. Step 2: Convert to fraction form
    54.95/76.35 = 54.39/x
  3. Step 3: Cross multiply
    54.95x = 76.35 × 54.39
  4. Step 4: Simplify right side
    54.95x = 4,152.68
  5. Step 5: Solve for x
    x = 4,152.68/54.95
  6. Step 6: Final answer
    x = 75.57

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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.