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Finding the Fourth Proportional to 3.10, 4.28 and 2.56

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Solution

The fourth proportional to 3.10, 4.28 and 2.56 is: 3.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.10 : 4.28 = 2.56 : x
  2. Step 2: Convert to fraction form
    3.10/4.28 = 2.56/x
  3. Step 3: Cross multiply
    3.10x = 4.28 × 2.56
  4. Step 4: Simplify right side
    3.10x = 10.93
  5. Step 5: Solve for x
    x = 10.93/3.10
  6. Step 6: Final answer
    x = 3.53

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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.