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Finding the Fourth Proportional to 141.46, 195.08 and 100

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Solution

The fourth proportional to 141.46, 195.08 and 100 is: 137.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.46 : 195.08 = 100 : x
  2. Step 2: Convert to fraction form
    141.46/195.08 = 100/x
  3. Step 3: Cross multiply
    141.46x = 195.08 × 100
  4. Step 4: Simplify right side
    141.46x = 19,508
  5. Step 5: Solve for x
    x = 19,508/141.46
  6. Step 6: Final answer
    x = 137.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.