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Finding the Fourth Proportional to 185.78, 277.54 and 120.24

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Solution

The fourth proportional to 185.78, 277.54 and 120.24 is: 179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 277.54 = 120.24 : x
  2. Step 2: Convert to fraction form
    185.78/277.54 = 120.24/x
  3. Step 3: Cross multiply
    185.78x = 277.54 × 120.24
  4. Step 4: Simplify right side
    185.78x = 33,370.81
  5. Step 5: Solve for x
    x = 33,370.81/185.78
  6. Step 6: Final answer
    x = 179.63

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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.