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Finding the Fourth Proportional to 141.32, 193.75 and 141.09

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Solution

The fourth proportional to 141.32, 193.75 and 141.09 is: 193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.32 : 193.75 = 141.09 : x
  2. Step 2: Convert to fraction form
    141.32/193.75 = 141.09/x
  3. Step 3: Cross multiply
    141.32x = 193.75 × 141.09
  4. Step 4: Simplify right side
    141.32x = 27,337.19
  5. Step 5: Solve for x
    x = 27,337.19/141.32
  6. Step 6: Final answer
    x = 193.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.