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Finding the Fourth Proportional to 20.13, 30.17 and 10.51

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Solution

The fourth proportional to 20.13, 30.17 and 10.51 is: 15.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.13 : 30.17 = 10.51 : x
  2. Step 2: Convert to fraction form
    20.13/30.17 = 10.51/x
  3. Step 3: Cross multiply
    20.13x = 30.17 × 10.51
  4. Step 4: Simplify right side
    20.13x = 316.99
  5. Step 5: Solve for x
    x = 316.99/20.13
  6. Step 6: Final answer
    x = 15.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.