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Finding the Fourth Proportional to 36.07, 49.42 and 35.62

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Solution

The fourth proportional to 36.07, 49.42 and 35.62 is: 48.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.07 : 49.42 = 35.62 : x
  2. Step 2: Convert to fraction form
    36.07/49.42 = 35.62/x
  3. Step 3: Cross multiply
    36.07x = 49.42 × 35.62
  4. Step 4: Simplify right side
    36.07x = 1,760.13
  5. Step 5: Solve for x
    x = 1,760.13/36.07
  6. Step 6: Final answer
    x = 48.80

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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.