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Finding the Fourth Proportional to 11, 16.50 and 10.91

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Solution

The fourth proportional to 11, 16.50 and 10.91 is: 16.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11 : 16.50 = 10.91 : x
  2. Step 2: Convert to fraction form
    11/16.50 = 10.91/x
  3. Step 3: Cross multiply
    11x = 16.50 × 10.91
  4. Step 4: Simplify right side
    11x = 180.02
  5. Step 5: Solve for x
    x = 180.02/11
  6. Step 6: Final answer
    x = 16.37

Related Problems

Find fourth proportional to 5.50, 8.25 and 5.46
Half scale
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Double scale
Find fourth proportional to 12, 18 and 11.91
Similar ratio
Find fourth proportional to 16.50, 24.75 and 16.37
1.5x scale

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.