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Finding the Fourth Proportional to 54.56, 74.88 and 48.98

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Solution

The fourth proportional to 54.56, 74.88 and 48.98 is: 67.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.56 : 74.88 = 48.98 : x
  2. Step 2: Convert to fraction form
    54.56/74.88 = 48.98/x
  3. Step 3: Cross multiply
    54.56x = 74.88 × 48.98
  4. Step 4: Simplify right side
    54.56x = 3,667.62
  5. Step 5: Solve for x
    x = 3,667.62/54.56
  6. Step 6: Final answer
    x = 67.22

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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.