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Finding the Fourth Proportional to 54.32, 74.36 and 49.44

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Solution

The fourth proportional to 54.32, 74.36 and 49.44 is: 67.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.32 : 74.36 = 49.44 : x
  2. Step 2: Convert to fraction form
    54.32/74.36 = 49.44/x
  3. Step 3: Cross multiply
    54.32x = 74.36 × 49.44
  4. Step 4: Simplify right side
    54.32x = 3,676.36
  5. Step 5: Solve for x
    x = 3,676.36/54.32
  6. Step 6: Final answer
    x = 67.68

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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.