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Finding the Fourth Proportional to 54.64, 81.49 and 50.21

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Solution

The fourth proportional to 54.64, 81.49 and 50.21 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.64 : 81.49 = 50.21 : x
  2. Step 2: Convert to fraction form
    54.64/81.49 = 50.21/x
  3. Step 3: Cross multiply
    54.64x = 81.49 × 50.21
  4. Step 4: Simplify right side
    54.64x = 4,092.08
  5. Step 5: Solve for x
    x = 4,092.08/54.64
  6. Step 6: Final answer
    x = 74.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.