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Finding the Fourth Proportional to 140.81, 211.37 and 86.81

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Solution

The fourth proportional to 140.81, 211.37 and 86.81 is: 130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.81 : 211.37 = 86.81 : x
  2. Step 2: Convert to fraction form
    140.81/211.37 = 86.81/x
  3. Step 3: Cross multiply
    140.81x = 211.37 × 86.81
  4. Step 4: Simplify right side
    140.81x = 18,347.54
  5. Step 5: Solve for x
    x = 18,347.54/140.81
  6. Step 6: Final answer
    x = 130.30

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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.