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Finding the Fourth Proportional to 20.05, 30.04 and 9.76

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Solution

The fourth proportional to 20.05, 30.04 and 9.76 is: 14.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.05 : 30.04 = 9.76 : x
  2. Step 2: Convert to fraction form
    20.05/30.04 = 9.76/x
  3. Step 3: Cross multiply
    20.05x = 30.04 × 9.76
  4. Step 4: Simplify right side
    20.05x = 292.99
  5. Step 5: Solve for x
    x = 292.99/20.05
  6. Step 6: Final answer
    x = 14.61

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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.