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Finding the Fourth Proportional to 225.56, 339.87 and 185.87

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Solution

The fourth proportional to 225.56, 339.87 and 185.87 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.56 : 339.87 = 185.87 : x
  2. Step 2: Convert to fraction form
    225.56/339.87 = 185.87/x
  3. Step 3: Cross multiply
    225.56x = 339.87 × 185.87
  4. Step 4: Simplify right side
    225.56x = 63,169.94
  5. Step 5: Solve for x
    x = 63,169.94/225.56
  6. Step 6: Final answer
    x = 280.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.