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Finding the Fourth Proportional to 34.14, 50.86 and 31.80

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Solution

The fourth proportional to 34.14, 50.86 and 31.80 is: 47.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.14 : 50.86 = 31.80 : x
  2. Step 2: Convert to fraction form
    34.14/50.86 = 31.80/x
  3. Step 3: Cross multiply
    34.14x = 50.86 × 31.80
  4. Step 4: Simplify right side
    34.14x = 1,617.35
  5. Step 5: Solve for x
    x = 1,617.35/34.14
  6. Step 6: Final answer
    x = 47.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.