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Finding the Fourth Proportional to 141.80, 212.12 and 105.21

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Solution

The fourth proportional to 141.80, 212.12 and 105.21 is: 157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 212.12 = 105.21 : x
  2. Step 2: Convert to fraction form
    141.80/212.12 = 105.21/x
  3. Step 3: Cross multiply
    141.80x = 212.12 × 105.21
  4. Step 4: Simplify right side
    141.80x = 22,317.94
  5. Step 5: Solve for x
    x = 22,317.94/141.80
  6. Step 6: Final answer
    x = 157.39

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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.