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Finding the Fourth Proportional to 66.38, 91.37 and 50.81

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Solution

The fourth proportional to 66.38, 91.37 and 50.81 is: 69.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.38 : 91.37 = 50.81 : x
  2. Step 2: Convert to fraction form
    66.38/91.37 = 50.81/x
  3. Step 3: Cross multiply
    66.38x = 91.37 × 50.81
  4. Step 4: Simplify right side
    66.38x = 4,642.18
  5. Step 5: Solve for x
    x = 4,642.18/66.38
  6. Step 6: Final answer
    x = 69.94

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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.