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Finding the Fourth Proportional to 36.70, 55.33 and 34.30

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Solution

The fourth proportional to 36.70, 55.33 and 34.30 is: 51.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.70 : 55.33 = 34.30 : x
  2. Step 2: Convert to fraction form
    36.70/55.33 = 34.30/x
  3. Step 3: Cross multiply
    36.70x = 55.33 × 34.30
  4. Step 4: Simplify right side
    36.70x = 1,897.82
  5. Step 5: Solve for x
    x = 1,897.82/36.70
  6. Step 6: Final answer
    x = 51.71

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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.