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Finding the Fourth Proportional to 127.09, 189.50 and 120.34

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Solution

The fourth proportional to 127.09, 189.50 and 120.34 is: 179.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.09 : 189.50 = 120.34 : x
  2. Step 2: Convert to fraction form
    127.09/189.50 = 120.34/x
  3. Step 3: Cross multiply
    127.09x = 189.50 × 120.34
  4. Step 4: Simplify right side
    127.09x = 22,804.43
  5. Step 5: Solve for x
    x = 22,804.43/127.09
  6. Step 6: Final answer
    x = 179.44

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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.