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Finding the Fourth Proportional to 94.86, 141.22 and 93.82

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Solution

The fourth proportional to 94.86, 141.22 and 93.82 is: 139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.86 : 141.22 = 93.82 : x
  2. Step 2: Convert to fraction form
    94.86/141.22 = 93.82/x
  3. Step 3: Cross multiply
    94.86x = 141.22 × 93.82
  4. Step 4: Simplify right side
    94.86x = 13,249.26
  5. Step 5: Solve for x
    x = 13,249.26/94.86
  6. Step 6: Final answer
    x = 139.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.