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Finding the Fourth Proportional to 9.46, 14.14 and 6.90

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Solution

The fourth proportional to 9.46, 14.14 and 6.90 is: 10.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9.46 : 14.14 = 6.90 : x
  2. Step 2: Convert to fraction form
    9.46/14.14 = 6.90/x
  3. Step 3: Cross multiply
    9.46x = 14.14 × 6.90
  4. Step 4: Simplify right side
    9.46x = 97.57
  5. Step 5: Solve for x
    x = 97.57/9.46
  6. Step 6: Final answer
    x = 10.31

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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.