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Finding the Fourth Proportional to 225.83, 339.36 and 134.57

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Solution

The fourth proportional to 225.83, 339.36 and 134.57 is: 202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.83 : 339.36 = 134.57 : x
  2. Step 2: Convert to fraction form
    225.83/339.36 = 134.57/x
  3. Step 3: Cross multiply
    225.83x = 339.36 × 134.57
  4. Step 4: Simplify right side
    225.83x = 45,667.68
  5. Step 5: Solve for x
    x = 45,667.68/225.83
  6. Step 6: Final answer
    x = 202.22

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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.