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Finding the Fourth Proportional to 67.05, 100.49 and 30.96

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Solution

The fourth proportional to 67.05, 100.49 and 30.96 is: 46.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.05 : 100.49 = 30.96 : x
  2. Step 2: Convert to fraction form
    67.05/100.49 = 30.96/x
  3. Step 3: Cross multiply
    67.05x = 100.49 × 30.96
  4. Step 4: Simplify right side
    67.05x = 3,111.02
  5. Step 5: Solve for x
    x = 3,111.02/67.05
  6. Step 6: Final answer
    x = 46.40

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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.