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Finding the Fourth Proportional to 36.30, 50 and 30.84

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Solution

The fourth proportional to 36.30, 50 and 30.84 is: 42.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.30 : 50 = 30.84 : x
  2. Step 2: Convert to fraction form
    36.30/50 = 30.84/x
  3. Step 3: Cross multiply
    36.30x = 50 × 30.84
  4. Step 4: Simplify right side
    36.30x = 1,542
  5. Step 5: Solve for x
    x = 1,542/36.30
  6. Step 6: Final answer
    x = 42.48

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1.5x scale

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.