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Finding the Fourth Proportional to 50.50, 69.71 and 31.09

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Solution

The fourth proportional to 50.50, 69.71 and 31.09 is: 42.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.50 : 69.71 = 31.09 : x
  2. Step 2: Convert to fraction form
    50.50/69.71 = 31.09/x
  3. Step 3: Cross multiply
    50.50x = 69.71 × 31.09
  4. Step 4: Simplify right side
    50.50x = 2,167.28
  5. Step 5: Solve for x
    x = 2,167.28/50.50
  6. Step 6: Final answer
    x = 42.92

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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.