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Finding the Fourth Proportional to 140.02, 211.05 and 136.91

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Solution

The fourth proportional to 140.02, 211.05 and 136.91 is: 206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.02 : 211.05 = 136.91 : x
  2. Step 2: Convert to fraction form
    140.02/211.05 = 136.91/x
  3. Step 3: Cross multiply
    140.02x = 211.05 × 136.91
  4. Step 4: Simplify right side
    140.02x = 28,895.38
  5. Step 5: Solve for x
    x = 28,895.38/140.02
  6. Step 6: Final answer
    x = 206.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.