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Finding the Fourth Proportional to 181.94, 271.86 and 123.68

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Solution

The fourth proportional to 181.94, 271.86 and 123.68 is: 184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.94 : 271.86 = 123.68 : x
  2. Step 2: Convert to fraction form
    181.94/271.86 = 123.68/x
  3. Step 3: Cross multiply
    181.94x = 271.86 × 123.68
  4. Step 4: Simplify right side
    181.94x = 33,623.37
  5. Step 5: Solve for x
    x = 33,623.37/181.94
  6. Step 6: Final answer
    x = 184.81

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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.