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Finding the Fourth Proportional to 118.23, 177.44 and 95.68

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Solution

The fourth proportional to 118.23, 177.44 and 95.68 is: 143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.23 : 177.44 = 95.68 : x
  2. Step 2: Convert to fraction form
    118.23/177.44 = 95.68/x
  3. Step 3: Cross multiply
    118.23x = 177.44 × 95.68
  4. Step 4: Simplify right side
    118.23x = 16,977.46
  5. Step 5: Solve for x
    x = 16,977.46/118.23
  6. Step 6: Final answer
    x = 143.60

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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.