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Finding the Fourth Proportional to 7.30, 11 and 6.86

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Solution

The fourth proportional to 7.30, 11 and 6.86 is: 10.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.30 : 11 = 6.86 : x
  2. Step 2: Convert to fraction form
    7.30/11 = 6.86/x
  3. Step 3: Cross multiply
    7.30x = 11 × 6.86
  4. Step 4: Simplify right side
    7.30x = 75.46
  5. Step 5: Solve for x
    x = 75.46/7.30
  6. Step 6: Final answer
    x = 10.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.