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Finding the Fourth Proportional to 141.67, 212.14 and 118.79

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Solution

The fourth proportional to 141.67, 212.14 and 118.79 is: 177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.67 : 212.14 = 118.79 : x
  2. Step 2: Convert to fraction form
    141.67/212.14 = 118.79/x
  3. Step 3: Cross multiply
    141.67x = 212.14 × 118.79
  4. Step 4: Simplify right side
    141.67x = 25,199.05
  5. Step 5: Solve for x
    x = 25,199.05/141.67
  6. Step 6: Final answer
    x = 177.87

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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.