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Finding the Fourth Proportional to 67.21, 100.74 and 31.07

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Solution

The fourth proportional to 67.21, 100.74 and 31.07 is: 46.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.21 : 100.74 = 31.07 : x
  2. Step 2: Convert to fraction form
    67.21/100.74 = 31.07/x
  3. Step 3: Cross multiply
    67.21x = 100.74 × 31.07
  4. Step 4: Simplify right side
    67.21x = 3,129.33
  5. Step 5: Solve for x
    x = 3,129.33/67.21
  6. Step 6: Final answer
    x = 46.56

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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.