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Finding the Fourth Proportional to 141.90, 211.41 and 135

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Solution

The fourth proportional to 141.90, 211.41 and 135 is: 201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.90 : 211.41 = 135 : x
  2. Step 2: Convert to fraction form
    141.90/211.41 = 135/x
  3. Step 3: Cross multiply
    141.90x = 211.41 × 135
  4. Step 4: Simplify right side
    141.90x = 28,540.35
  5. Step 5: Solve for x
    x = 28,540.35/141.90
  6. Step 6: Final answer
    x = 201.13

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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.