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Finding the Fourth Proportional to 48.57, 67.08 and 48.03

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Solution

The fourth proportional to 48.57, 67.08 and 48.03 is: 66.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.57 : 67.08 = 48.03 : x
  2. Step 2: Convert to fraction form
    48.57/67.08 = 48.03/x
  3. Step 3: Cross multiply
    48.57x = 67.08 × 48.03
  4. Step 4: Simplify right side
    48.57x = 3,221.85
  5. Step 5: Solve for x
    x = 3,221.85/48.57
  6. Step 6: Final answer
    x = 66.33

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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.