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Finding the Fourth Proportional to 2.86, 4.25 and 2.84

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Solution

The fourth proportional to 2.86, 4.25 and 2.84 is: 4.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.86 : 4.25 = 2.84 : x
  2. Step 2: Convert to fraction form
    2.86/4.25 = 2.84/x
  3. Step 3: Cross multiply
    2.86x = 4.25 × 2.84
  4. Step 4: Simplify right side
    2.86x = 12.03
  5. Step 5: Solve for x
    x = 12.03/2.86
  6. Step 6: Final answer
    x = 4.21

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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.