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Finding the Fourth Proportional to 54.41, 74.88 and 42.08

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Solution

The fourth proportional to 54.41, 74.88 and 42.08 is: 57.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.41 : 74.88 = 42.08 : x
  2. Step 2: Convert to fraction form
    54.41/74.88 = 42.08/x
  3. Step 3: Cross multiply
    54.41x = 74.88 × 42.08
  4. Step 4: Simplify right side
    54.41x = 3,150.58
  5. Step 5: Solve for x
    x = 3,150.58/54.41
  6. Step 6: Final answer
    x = 57.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.