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Finding the Fourth Proportional to 2.25, 3.38 and 0.75

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Solution

The fourth proportional to 2.25, 3.38 and 0.75 is: 1.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.25 : 3.38 = 0.75 : x
  2. Step 2: Convert to fraction form
    2.25/3.38 = 0.75/x
  3. Step 3: Cross multiply
    2.25x = 3.38 × 0.75
  4. Step 4: Simplify right side
    2.25x = 2.53
  5. Step 5: Solve for x
    x = 2.53/2.25
  6. Step 6: Final answer
    x = 1.12

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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.