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Finding the Fourth Proportional to 2.23, 3.31 and 2.16

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Solution

The fourth proportional to 2.23, 3.31 and 2.16 is: 3.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.23 : 3.31 = 2.16 : x
  2. Step 2: Convert to fraction form
    2.23/3.31 = 2.16/x
  3. Step 3: Cross multiply
    2.23x = 3.31 × 2.16
  4. Step 4: Simplify right side
    2.23x = 7.14
  5. Step 5: Solve for x
    x = 7.14/2.23
  6. Step 6: Final answer
    x = 3.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.