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Finding the Fourth Proportional to 54.28, 74.39 and 53.86

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Solution

The fourth proportional to 54.28, 74.39 and 53.86 is: 73.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.28 : 74.39 = 53.86 : x
  2. Step 2: Convert to fraction form
    54.28/74.39 = 53.86/x
  3. Step 3: Cross multiply
    54.28x = 74.39 × 53.86
  4. Step 4: Simplify right side
    54.28x = 4,006.65
  5. Step 5: Solve for x
    x = 4,006.65/54.28
  6. Step 6: Final answer
    x = 73.81

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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.