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Finding the Fourth Proportional to 48.65, 72.97 and 33.49

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Solution

The fourth proportional to 48.65, 72.97 and 33.49 is: 50.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.65 : 72.97 = 33.49 : x
  2. Step 2: Convert to fraction form
    48.65/72.97 = 33.49/x
  3. Step 3: Cross multiply
    48.65x = 72.97 × 33.49
  4. Step 4: Simplify right side
    48.65x = 2,443.50
  5. Step 5: Solve for x
    x = 2,443.50/48.65
  6. Step 6: Final answer
    x = 50.22

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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.