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Finding the Fourth Proportional to 48.82, 73.28 and 45.22

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Solution

The fourth proportional to 48.82, 73.28 and 45.22 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.82 : 73.28 = 45.22 : x
  2. Step 2: Convert to fraction form
    48.82/73.28 = 45.22/x
  3. Step 3: Cross multiply
    48.82x = 73.28 × 45.22
  4. Step 4: Simplify right side
    48.82x = 3,313.72
  5. Step 5: Solve for x
    x = 3,313.72/48.82
  6. Step 6: Final answer
    x = 67.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.