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Finding the Fourth Proportional to 54.49, 74.73 and 52.28

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Solution

The fourth proportional to 54.49, 74.73 and 52.28 is: 71.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.49 : 74.73 = 52.28 : x
  2. Step 2: Convert to fraction form
    54.49/74.73 = 52.28/x
  3. Step 3: Cross multiply
    54.49x = 74.73 × 52.28
  4. Step 4: Simplify right side
    54.49x = 3,906.62
  5. Step 5: Solve for x
    x = 3,906.62/54.49
  6. Step 6: Final answer
    x = 71.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.