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Finding the Fourth Proportional to 36.31, 53.99 and 35.23

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Solution

The fourth proportional to 36.31, 53.99 and 35.23 is: 52.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.31 : 53.99 = 35.23 : x
  2. Step 2: Convert to fraction form
    36.31/53.99 = 35.23/x
  3. Step 3: Cross multiply
    36.31x = 53.99 × 35.23
  4. Step 4: Simplify right side
    36.31x = 1,902.07
  5. Step 5: Solve for x
    x = 1,902.07/36.31
  6. Step 6: Final answer
    x = 52.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.