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Finding the Fourth Proportional to 10.91, 16.49 and 10.91

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Solution

The fourth proportional to 10.91, 16.49 and 10.91 is: 16.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.91 : 16.49 = 10.91 : x
  2. Step 2: Convert to fraction form
    10.91/16.49 = 10.91/x
  3. Step 3: Cross multiply
    10.91x = 16.49 × 10.91
  4. Step 4: Simplify right side
    10.91x = 179.97
  5. Step 5: Solve for x
    x = 179.97/10.91
  6. Step 6: Final answer
    x = 16.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.