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Finding the Fourth Proportional to 48.50, 66.48 and 47.96

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Solution

The fourth proportional to 48.50, 66.48 and 47.96 is: 65.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.50 : 66.48 = 47.96 : x
  2. Step 2: Convert to fraction form
    48.50/66.48 = 47.96/x
  3. Step 3: Cross multiply
    48.50x = 66.48 × 47.96
  4. Step 4: Simplify right side
    48.50x = 3,188.05
  5. Step 5: Solve for x
    x = 3,188.05/48.50
  6. Step 6: Final answer
    x = 65.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.