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Finding the Fourth Proportional to 118.23, 177.36 and 41.21

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Solution

The fourth proportional to 118.23, 177.36 and 41.21 is: 61.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.23 : 177.36 = 41.21 : x
  2. Step 2: Convert to fraction form
    118.23/177.36 = 41.21/x
  3. Step 3: Cross multiply
    118.23x = 177.36 × 41.21
  4. Step 4: Simplify right side
    118.23x = 7,309.01
  5. Step 5: Solve for x
    x = 7,309.01/118.23
  6. Step 6: Final answer
    x = 61.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.