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Finding the Fourth Proportional to 36.75, 55.41 and 35.31

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Solution

The fourth proportional to 36.75, 55.41 and 35.31 is: 53.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.75 : 55.41 = 35.31 : x
  2. Step 2: Convert to fraction form
    36.75/55.41 = 35.31/x
  3. Step 3: Cross multiply
    36.75x = 55.41 × 35.31
  4. Step 4: Simplify right side
    36.75x = 1,956.53
  5. Step 5: Solve for x
    x = 1,956.53/36.75
  6. Step 6: Final answer
    x = 53.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.