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Finding the Fourth Proportional to 36.93, 55.71 and 35.67

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Solution

The fourth proportional to 36.93, 55.71 and 35.67 is: 53.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.93 : 55.71 = 35.67 : x
  2. Step 2: Convert to fraction form
    36.93/55.71 = 35.67/x
  3. Step 3: Cross multiply
    36.93x = 55.71 × 35.67
  4. Step 4: Simplify right side
    36.93x = 1,987.18
  5. Step 5: Solve for x
    x = 1,987.18/36.93
  6. Step 6: Final answer
    x = 53.81

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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.