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Finding the Fourth Proportional to 36.86, 50.83 and 30.70

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Solution

The fourth proportional to 36.86, 50.83 and 30.70 is: 42.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.86 : 50.83 = 30.70 : x
  2. Step 2: Convert to fraction form
    36.86/50.83 = 30.70/x
  3. Step 3: Cross multiply
    36.86x = 50.83 × 30.70
  4. Step 4: Simplify right side
    36.86x = 1,560.28
  5. Step 5: Solve for x
    x = 1,560.28/36.86
  6. Step 6: Final answer
    x = 42.34

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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.