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Finding the Fourth Proportional to 127.27, 189.78 and 118.62

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Solution

The fourth proportional to 127.27, 189.78 and 118.62 is: 176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.27 : 189.78 = 118.62 : x
  2. Step 2: Convert to fraction form
    127.27/189.78 = 118.62/x
  3. Step 3: Cross multiply
    127.27x = 189.78 × 118.62
  4. Step 4: Simplify right side
    127.27x = 22,511.70
  5. Step 5: Solve for x
    x = 22,511.70/127.27
  6. Step 6: Final answer
    x = 176.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.