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Finding the Fourth Proportional to 48.15, 66.41 and 31.78

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Solution

The fourth proportional to 48.15, 66.41 and 31.78 is: 43.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.15 : 66.41 = 31.78 : x
  2. Step 2: Convert to fraction form
    48.15/66.41 = 31.78/x
  3. Step 3: Cross multiply
    48.15x = 66.41 × 31.78
  4. Step 4: Simplify right side
    48.15x = 2,110.51
  5. Step 5: Solve for x
    x = 2,110.51/48.15
  6. Step 6: Final answer
    x = 43.83

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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.