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Finding the Fourth Proportional to 48.15, 66.39 and 37.23

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Solution

The fourth proportional to 48.15, 66.39 and 37.23 is: 51.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.15 : 66.39 = 37.23 : x
  2. Step 2: Convert to fraction form
    48.15/66.39 = 37.23/x
  3. Step 3: Cross multiply
    48.15x = 66.39 × 37.23
  4. Step 4: Simplify right side
    48.15x = 2,471.70
  5. Step 5: Solve for x
    x = 2,471.70/48.15
  6. Step 6: Final answer
    x = 51.33

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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.