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Finding the Fourth Proportional to 141.41, 210.54 and 140.73

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Solution

The fourth proportional to 141.41, 210.54 and 140.73 is: 209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.41 : 210.54 = 140.73 : x
  2. Step 2: Convert to fraction form
    141.41/210.54 = 140.73/x
  3. Step 3: Cross multiply
    141.41x = 210.54 × 140.73
  4. Step 4: Simplify right side
    141.41x = 29,628.59
  5. Step 5: Solve for x
    x = 29,628.59/141.41
  6. Step 6: Final answer
    x = 209.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.