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Finding the Fourth Proportional to 36.65, 50.58 and 30.11

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Solution

The fourth proportional to 36.65, 50.58 and 30.11 is: 41.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.65 : 50.58 = 30.11 : x
  2. Step 2: Convert to fraction form
    36.65/50.58 = 30.11/x
  3. Step 3: Cross multiply
    36.65x = 50.58 × 30.11
  4. Step 4: Simplify right side
    36.65x = 1,522.71
  5. Step 5: Solve for x
    x = 1,522.71/36.65
  6. Step 6: Final answer
    x = 41.55

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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.