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Finding the Fourth Proportional to 48.25, 71.91 and 45.31

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Solution

The fourth proportional to 48.25, 71.91 and 45.31 is: 67.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.25 : 71.91 = 45.31 : x
  2. Step 2: Convert to fraction form
    48.25/71.91 = 45.31/x
  3. Step 3: Cross multiply
    48.25x = 71.91 × 45.31
  4. Step 4: Simplify right side
    48.25x = 3,258.32
  5. Step 5: Solve for x
    x = 3,258.32/48.25
  6. Step 6: Final answer
    x = 67.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.