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Finding the Fourth Proportional to 11.26, 16.88 and 7.70

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Solution

The fourth proportional to 11.26, 16.88 and 7.70 is: 11.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.26 : 16.88 = 7.70 : x
  2. Step 2: Convert to fraction form
    11.26/16.88 = 7.70/x
  3. Step 3: Cross multiply
    11.26x = 16.88 × 7.70
  4. Step 4: Simplify right side
    11.26x = 129.98
  5. Step 5: Solve for x
    x = 129.98/11.26
  6. Step 6: Final answer
    x = 11.54

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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.