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Finding the Fourth Proportional to 140.75, 211.06 and 49.39

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Solution

The fourth proportional to 140.75, 211.06 and 49.39 is: 74.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.75 : 211.06 = 49.39 : x
  2. Step 2: Convert to fraction form
    140.75/211.06 = 49.39/x
  3. Step 3: Cross multiply
    140.75x = 211.06 × 49.39
  4. Step 4: Simplify right side
    140.75x = 10,424.25
  5. Step 5: Solve for x
    x = 10,424.25/140.75
  6. Step 6: Final answer
    x = 74.06

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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.