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Finding the Fourth Proportional to 48.33, 66.65 and 31.94

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Solution

The fourth proportional to 48.33, 66.65 and 31.94 is: 44.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.33 : 66.65 = 31.94 : x
  2. Step 2: Convert to fraction form
    48.33/66.65 = 31.94/x
  3. Step 3: Cross multiply
    48.33x = 66.65 × 31.94
  4. Step 4: Simplify right side
    48.33x = 2,128.80
  5. Step 5: Solve for x
    x = 2,128.80/48.33
  6. Step 6: Final answer
    x = 44.05

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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.