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Finding the Fourth Proportional to 49.06, 67.62 and 45.22

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Solution

The fourth proportional to 49.06, 67.62 and 45.22 is: 62.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.06 : 67.62 = 45.22 : x
  2. Step 2: Convert to fraction form
    49.06/67.62 = 45.22/x
  3. Step 3: Cross multiply
    49.06x = 67.62 × 45.22
  4. Step 4: Simplify right side
    49.06x = 3,057.78
  5. Step 5: Solve for x
    x = 3,057.78/49.06
  6. Step 6: Final answer
    x = 62.33

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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.