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Finding the Fourth Proportional to 10.33, 14.25 and 9.69

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Solution

The fourth proportional to 10.33, 14.25 and 9.69 is: 13.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.33 : 14.25 = 9.69 : x
  2. Step 2: Convert to fraction form
    10.33/14.25 = 9.69/x
  3. Step 3: Cross multiply
    10.33x = 14.25 × 9.69
  4. Step 4: Simplify right side
    10.33x = 138.08
  5. Step 5: Solve for x
    x = 138.08/10.33
  6. Step 6: Final answer
    x = 13.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.