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Finding the Fourth Proportional to 140.90, 211.24 and 71.44

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Solution

The fourth proportional to 140.90, 211.24 and 71.44 is: 107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.90 : 211.24 = 71.44 : x
  2. Step 2: Convert to fraction form
    140.90/211.24 = 71.44/x
  3. Step 3: Cross multiply
    140.90x = 211.24 × 71.44
  4. Step 4: Simplify right side
    140.90x = 15,091.14
  5. Step 5: Solve for x
    x = 15,091.14/140.90
  6. Step 6: Final answer
    x = 107.11

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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.