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Finding the Fourth Proportional to 67.26, 100.40 and 65.82

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Solution

The fourth proportional to 67.26, 100.40 and 65.82 is: 98.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.26 : 100.40 = 65.82 : x
  2. Step 2: Convert to fraction form
    67.26/100.40 = 65.82/x
  3. Step 3: Cross multiply
    67.26x = 100.40 × 65.82
  4. Step 4: Simplify right side
    67.26x = 6,608.00
  5. Step 5: Solve for x
    x = 6,608.00/67.26
  6. Step 6: Final answer
    x = 98.25

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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.