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Finding the Fourth Proportional to 2.24, 3.09 and 1.43

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Solution

The fourth proportional to 2.24, 3.09 and 1.43 is: 1.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.24 : 3.09 = 1.43 : x
  2. Step 2: Convert to fraction form
    2.24/3.09 = 1.43/x
  3. Step 3: Cross multiply
    2.24x = 3.09 × 1.43
  4. Step 4: Simplify right side
    2.24x = 4.41
  5. Step 5: Solve for x
    x = 4.41/2.24
  6. Step 6: Final answer
    x = 1.97

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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.