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Finding the Fourth Proportional to 9.20, 13.77 and 8.78

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Solution

The fourth proportional to 9.20, 13.77 and 8.78 is: 13.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.20 : 13.77 = 8.78 : x
  2. Step 2: Convert to fraction form
    9.20/13.77 = 8.78/x
  3. Step 3: Cross multiply
    9.20x = 13.77 × 8.78
  4. Step 4: Simplify right side
    9.20x = 120.90
  5. Step 5: Solve for x
    x = 120.90/9.20
  6. Step 6: Final answer
    x = 13.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.