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Finding the Fourth Proportional to 141.22, 210.06 and 140.76

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Solution

The fourth proportional to 141.22, 210.06 and 140.76 is: 209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.22 : 210.06 = 140.76 : x
  2. Step 2: Convert to fraction form
    141.22/210.06 = 140.76/x
  3. Step 3: Cross multiply
    141.22x = 210.06 × 140.76
  4. Step 4: Simplify right side
    141.22x = 29,568.05
  5. Step 5: Solve for x
    x = 29,568.05/141.22
  6. Step 6: Final answer
    x = 209.38

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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.