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Finding the Fourth Proportional to 54.19, 81.28 and 28.51

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Solution

The fourth proportional to 54.19, 81.28 and 28.51 is: 42.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 81.28 = 28.51 : x
  2. Step 2: Convert to fraction form
    54.19/81.28 = 28.51/x
  3. Step 3: Cross multiply
    54.19x = 81.28 × 28.51
  4. Step 4: Simplify right side
    54.19x = 2,317.29
  5. Step 5: Solve for x
    x = 2,317.29/54.19
  6. Step 6: Final answer
    x = 42.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.