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Finding the Fourth Proportional to 9.04, 13.50 and 6.88

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Solution

The fourth proportional to 9.04, 13.50 and 6.88 is: 10.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.04 : 13.50 = 6.88 : x
  2. Step 2: Convert to fraction form
    9.04/13.50 = 6.88/x
  3. Step 3: Cross multiply
    9.04x = 13.50 × 6.88
  4. Step 4: Simplify right side
    9.04x = 92.88
  5. Step 5: Solve for x
    x = 92.88/9.04
  6. Step 6: Final answer
    x = 10.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.