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Finding the Fourth Proportional to 6.98, 10.40 and 6.86

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Solution

The fourth proportional to 6.98, 10.40 and 6.86 is: 10.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.98 : 10.40 = 6.86 : x
  2. Step 2: Convert to fraction form
    6.98/10.40 = 6.86/x
  3. Step 3: Cross multiply
    6.98x = 10.40 × 6.86
  4. Step 4: Simplify right side
    6.98x = 71.34
  5. Step 5: Solve for x
    x = 71.34/6.98
  6. Step 6: Final answer
    x = 10.23

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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.