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Finding the Fourth Proportional to 10.33, 14.20 and 9.38

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Solution

The fourth proportional to 10.33, 14.20 and 9.38 is: 12.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.33 : 14.20 = 9.38 : x
  2. Step 2: Convert to fraction form
    10.33/14.20 = 9.38/x
  3. Step 3: Cross multiply
    10.33x = 14.20 × 9.38
  4. Step 4: Simplify right side
    10.33x = 133.21
  5. Step 5: Solve for x
    x = 133.21/10.33
  6. Step 6: Final answer
    x = 12.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.