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Finding the Fourth Proportional to 8.08, 11.13 and 5.65

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Solution

The fourth proportional to 8.08, 11.13 and 5.65 is: 7.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.08 : 11.13 = 5.65 : x
  2. Step 2: Convert to fraction form
    8.08/11.13 = 5.65/x
  3. Step 3: Cross multiply
    8.08x = 11.13 × 5.65
  4. Step 4: Simplify right side
    8.08x = 62.83
  5. Step 5: Solve for x
    x = 62.83/8.08
  6. Step 6: Final answer
    x = 7.78

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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.