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Finding the Fourth Proportional to 127.46, 174.82 and 120.49

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Solution

The fourth proportional to 127.46, 174.82 and 120.49 is: 165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.46 : 174.82 = 120.49 : x
  2. Step 2: Convert to fraction form
    127.46/174.82 = 120.49/x
  3. Step 3: Cross multiply
    127.46x = 174.82 × 120.49
  4. Step 4: Simplify right side
    127.46x = 21,064.06
  5. Step 5: Solve for x
    x = 21,064.06/127.46
  6. Step 6: Final answer
    x = 165.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.