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Finding the Fourth Proportional to 141.78, 211.46 and 126.38

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Solution

The fourth proportional to 141.78, 211.46 and 126.38 is: 188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.78 : 211.46 = 126.38 : x
  2. Step 2: Convert to fraction form
    141.78/211.46 = 126.38/x
  3. Step 3: Cross multiply
    141.78x = 211.46 × 126.38
  4. Step 4: Simplify right side
    141.78x = 26,724.31
  5. Step 5: Solve for x
    x = 26,724.31/141.78
  6. Step 6: Final answer
    x = 188.49

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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.