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Finding the Fourth Proportional to 54.74, 82.46 and 49.40

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Solution

The fourth proportional to 54.74, 82.46 and 49.40 is: 74.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.74 : 82.46 = 49.40 : x
  2. Step 2: Convert to fraction form
    54.74/82.46 = 49.40/x
  3. Step 3: Cross multiply
    54.74x = 82.46 × 49.40
  4. Step 4: Simplify right side
    54.74x = 4,073.05
  5. Step 5: Solve for x
    x = 4,073.05/54.74
  6. Step 6: Final answer
    x = 74.41

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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.