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Finding the Fourth Proportional to 48.82, 67.38 and 40.62

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Solution

The fourth proportional to 48.82, 67.38 and 40.62 is: 56.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.82 : 67.38 = 40.62 : x
  2. Step 2: Convert to fraction form
    48.82/67.38 = 40.62/x
  3. Step 3: Cross multiply
    48.82x = 67.38 × 40.62
  4. Step 4: Simplify right side
    48.82x = 2,736.77
  5. Step 5: Solve for x
    x = 2,736.77/48.82
  6. Step 6: Final answer
    x = 56.06

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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.