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Finding the Fourth Proportional to 225.14, 336.71 and 138.26

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Solution

The fourth proportional to 225.14, 336.71 and 138.26 is: 206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.14 : 336.71 = 138.26 : x
  2. Step 2: Convert to fraction form
    225.14/336.71 = 138.26/x
  3. Step 3: Cross multiply
    225.14x = 336.71 × 138.26
  4. Step 4: Simplify right side
    225.14x = 46,551.15
  5. Step 5: Solve for x
    x = 46,551.15/225.14
  6. Step 6: Final answer
    x = 206.77

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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.