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Finding the Fourth Proportional to 54.58, 82.25 and 48.52

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Solution

The fourth proportional to 54.58, 82.25 and 48.52 is: 73.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.58 : 82.25 = 48.52 : x
  2. Step 2: Convert to fraction form
    54.58/82.25 = 48.52/x
  3. Step 3: Cross multiply
    54.58x = 82.25 × 48.52
  4. Step 4: Simplify right side
    54.58x = 3,990.77
  5. Step 5: Solve for x
    x = 3,990.77/54.58
  6. Step 6: Final answer
    x = 73.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.