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Finding the Fourth Proportional to 20.00, 30.07 and 11.47

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Solution

The fourth proportional to 20.00, 30.07 and 11.47 is: 17.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.00 : 30.07 = 11.47 : x
  2. Step 2: Convert to fraction form
    20.00/30.07 = 11.47/x
  3. Step 3: Cross multiply
    20.00x = 30.07 × 11.47
  4. Step 4: Simplify right side
    20.00x = 344.81
  5. Step 5: Solve for x
    x = 344.81/20.00
  6. Step 6: Final answer
    x = 17.24

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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.