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Finding the Fourth Proportional to 141.37, 195.05 and 97.20

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Solution

The fourth proportional to 141.37, 195.05 and 97.20 is: 134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.37 : 195.05 = 97.20 : x
  2. Step 2: Convert to fraction form
    141.37/195.05 = 97.20/x
  3. Step 3: Cross multiply
    141.37x = 195.05 × 97.20
  4. Step 4: Simplify right side
    141.37x = 18,959.10
  5. Step 5: Solve for x
    x = 18,959.10/141.37
  6. Step 6: Final answer
    x = 134.11

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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.