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Finding the Fourth Proportional to 127.75, 190.51 and 120.93

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Solution

The fourth proportional to 127.75, 190.51 and 120.93 is: 180.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.75 : 190.51 = 120.93 : x
  2. Step 2: Convert to fraction form
    127.75/190.51 = 120.93/x
  3. Step 3: Cross multiply
    127.75x = 190.51 × 120.93
  4. Step 4: Simplify right side
    127.75x = 23,038.37
  5. Step 5: Solve for x
    x = 23,038.37/127.75
  6. Step 6: Final answer
    x = 180.34

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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.