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Finding the Fourth Proportional to 10.69, 14.74 and 8.23

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Solution

The fourth proportional to 10.69, 14.74 and 8.23 is: 11.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.69 : 14.74 = 8.23 : x
  2. Step 2: Convert to fraction form
    10.69/14.74 = 8.23/x
  3. Step 3: Cross multiply
    10.69x = 14.74 × 8.23
  4. Step 4: Simplify right side
    10.69x = 121.31
  5. Step 5: Solve for x
    x = 121.31/10.69
  6. Step 6: Final answer
    x = 11.35

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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.