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Finding the Fourth Proportional to 67.29, 92.83 and 41.05

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Solution

The fourth proportional to 67.29, 92.83 and 41.05 is: 56.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.29 : 92.83 = 41.05 : x
  2. Step 2: Convert to fraction form
    67.29/92.83 = 41.05/x
  3. Step 3: Cross multiply
    67.29x = 92.83 × 41.05
  4. Step 4: Simplify right side
    67.29x = 3,810.67
  5. Step 5: Solve for x
    x = 3,810.67/67.29
  6. Step 6: Final answer
    x = 56.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.