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Finding the Fourth Proportional to 67, 100.29 and 56.18

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Solution

The fourth proportional to 67, 100.29 and 56.18 is: 84.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67 : 100.29 = 56.18 : x
  2. Step 2: Convert to fraction form
    67/100.29 = 56.18/x
  3. Step 3: Cross multiply
    67x = 100.29 × 56.18
  4. Step 4: Simplify right side
    67x = 5,634.15
  5. Step 5: Solve for x
    x = 5,634.15/67
  6. Step 6: Final answer
    x = 84.09

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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.