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Finding the Fourth Proportional to 141.48, 193.84 and 139.76

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Solution

The fourth proportional to 141.48, 193.84 and 139.76 is: 191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.48 : 193.84 = 139.76 : x
  2. Step 2: Convert to fraction form
    141.48/193.84 = 139.76/x
  3. Step 3: Cross multiply
    141.48x = 193.84 × 139.76
  4. Step 4: Simplify right side
    141.48x = 27,091.08
  5. Step 5: Solve for x
    x = 27,091.08/141.48
  6. Step 6: Final answer
    x = 191.48

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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.