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Finding the Fourth Proportional to 36.89, 50.71 and 31.40

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Solution

The fourth proportional to 36.89, 50.71 and 31.40 is: 43.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.89 : 50.71 = 31.40 : x
  2. Step 2: Convert to fraction form
    36.89/50.71 = 31.40/x
  3. Step 3: Cross multiply
    36.89x = 50.71 × 31.40
  4. Step 4: Simplify right side
    36.89x = 1,591.96
  5. Step 5: Solve for x
    x = 1,591.96/36.89
  6. Step 6: Final answer
    x = 43.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.