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Finding the Fourth Proportional to 68.50, 94.51 and 40.86

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Solution

The fourth proportional to 68.50, 94.51 and 40.86 is: 56.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.50 : 94.51 = 40.86 : x
  2. Step 2: Convert to fraction form
    68.50/94.51 = 40.86/x
  3. Step 3: Cross multiply
    68.50x = 94.51 × 40.86
  4. Step 4: Simplify right side
    68.50x = 3,861.21
  5. Step 5: Solve for x
    x = 3,861.21/68.50
  6. Step 6: Final answer
    x = 56.37

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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.