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Finding the Fourth Proportional to 141.45, 211.61 and 122.41

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Solution

The fourth proportional to 141.45, 211.61 and 122.41 is: 183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.45 : 211.61 = 122.41 : x
  2. Step 2: Convert to fraction form
    141.45/211.61 = 122.41/x
  3. Step 3: Cross multiply
    141.45x = 211.61 × 122.41
  4. Step 4: Simplify right side
    141.45x = 25,901.87
  5. Step 5: Solve for x
    x = 25,901.87/141.45
  6. Step 6: Final answer
    x = 183.11

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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.