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Finding the Fourth Proportional to 141.26, 210.56 and 136.84

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Solution

The fourth proportional to 141.26, 210.56 and 136.84 is: 203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.26 : 210.56 = 136.84 : x
  2. Step 2: Convert to fraction form
    141.26/210.56 = 136.84/x
  3. Step 3: Cross multiply
    141.26x = 210.56 × 136.84
  4. Step 4: Simplify right side
    141.26x = 28,813.03
  5. Step 5: Solve for x
    x = 28,813.03/141.26
  6. Step 6: Final answer
    x = 203.97

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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.