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Finding the Fourth Proportional to 185.68, 278.84 and 122

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Solution

The fourth proportional to 185.68, 278.84 and 122 is: 183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.68 : 278.84 = 122 : x
  2. Step 2: Convert to fraction form
    185.68/278.84 = 122/x
  3. Step 3: Cross multiply
    185.68x = 278.84 × 122
  4. Step 4: Simplify right side
    185.68x = 34,018.48
  5. Step 5: Solve for x
    x = 34,018.48/185.68
  6. Step 6: Final answer
    x = 183.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.