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Finding the Fourth Proportional to 10.99, 15.20 and 9.19

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Solution

The fourth proportional to 10.99, 15.20 and 9.19 is: 12.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.99 : 15.20 = 9.19 : x
  2. Step 2: Convert to fraction form
    10.99/15.20 = 9.19/x
  3. Step 3: Cross multiply
    10.99x = 15.20 × 9.19
  4. Step 4: Simplify right side
    10.99x = 139.69
  5. Step 5: Solve for x
    x = 139.69/10.99
  6. Step 6: Final answer
    x = 12.71

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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.