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Finding the Fourth Proportional to 11.66, 16.05 and 10.04

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Solution

The fourth proportional to 11.66, 16.05 and 10.04 is: 13.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.66 : 16.05 = 10.04 : x
  2. Step 2: Convert to fraction form
    11.66/16.05 = 10.04/x
  3. Step 3: Cross multiply
    11.66x = 16.05 × 10.04
  4. Step 4: Simplify right side
    11.66x = 161.14
  5. Step 5: Solve for x
    x = 161.14/11.66
  6. Step 6: Final answer
    x = 13.82

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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.