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Finding the Fourth Proportional to 309.06, 426.42 and 184.66

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Solution

The fourth proportional to 309.06, 426.42 and 184.66 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.06 : 426.42 = 184.66 : x
  2. Step 2: Convert to fraction form
    309.06/426.42 = 184.66/x
  3. Step 3: Cross multiply
    309.06x = 426.42 × 184.66
  4. Step 4: Simplify right side
    309.06x = 78,742.72
  5. Step 5: Solve for x
    x = 78,742.72/309.06
  6. Step 6: Final answer
    x = 254.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.