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Finding the Fourth Proportional to 141.74, 211.70 and 109.23

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Solution

The fourth proportional to 141.74, 211.70 and 109.23 is: 163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.74 : 211.70 = 109.23 : x
  2. Step 2: Convert to fraction form
    141.74/211.70 = 109.23/x
  3. Step 3: Cross multiply
    141.74x = 211.70 × 109.23
  4. Step 4: Simplify right side
    141.74x = 23,123.44
  5. Step 5: Solve for x
    x = 23,123.44/141.74
  6. Step 6: Final answer
    x = 163.15

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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.