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Finding the Fourth Proportional to 36.99, 50.91 and 30.78

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Solution

The fourth proportional to 36.99, 50.91 and 30.78 is: 42.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.99 : 50.91 = 30.78 : x
  2. Step 2: Convert to fraction form
    36.99/50.91 = 30.78/x
  3. Step 3: Cross multiply
    36.99x = 50.91 × 30.78
  4. Step 4: Simplify right side
    36.99x = 1,566.60
  5. Step 5: Solve for x
    x = 1,566.60/36.99
  6. Step 6: Final answer
    x = 42.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.