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Finding the Fourth Proportional to 118.48, 163.77 and 102.07

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Solution

The fourth proportional to 118.48, 163.77 and 102.07 is: 141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.48 : 163.77 = 102.07 : x
  2. Step 2: Convert to fraction form
    118.48/163.77 = 102.07/x
  3. Step 3: Cross multiply
    118.48x = 163.77 × 102.07
  4. Step 4: Simplify right side
    118.48x = 16,716.00
  5. Step 5: Solve for x
    x = 16,716.00/118.48
  6. Step 6: Final answer
    x = 141.09

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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.