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Finding the Fourth Proportional to 140.68, 211 and 86.91

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Solution

The fourth proportional to 140.68, 211 and 86.91 is: 130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.68 : 211 = 86.91 : x
  2. Step 2: Convert to fraction form
    140.68/211 = 86.91/x
  3. Step 3: Cross multiply
    140.68x = 211 × 86.91
  4. Step 4: Simplify right side
    140.68x = 18,338.01
  5. Step 5: Solve for x
    x = 18,338.01/140.68
  6. Step 6: Final answer
    x = 130.35

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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.