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Finding the Fourth Proportional to 11.17, 16.64 and 10.78

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Solution

The fourth proportional to 11.17, 16.64 and 10.78 is: 16.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.17 : 16.64 = 10.78 : x
  2. Step 2: Convert to fraction form
    11.17/16.64 = 10.78/x
  3. Step 3: Cross multiply
    11.17x = 16.64 × 10.78
  4. Step 4: Simplify right side
    11.17x = 179.38
  5. Step 5: Solve for x
    x = 179.38/11.17
  6. Step 6: Final answer
    x = 16.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.