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Finding the Fourth Proportional to 6.00, 8.28 and 4.28

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Solution

The fourth proportional to 6.00, 8.28 and 4.28 is: 5.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.00 : 8.28 = 4.28 : x
  2. Step 2: Convert to fraction form
    6.00/8.28 = 4.28/x
  3. Step 3: Cross multiply
    6.00x = 8.28 × 4.28
  4. Step 4: Simplify right side
    6.00x = 35.44
  5. Step 5: Solve for x
    x = 35.44/6.00
  6. Step 6: Final answer
    x = 5.90

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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.