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Finding the Fourth Proportional to 225.13, 336.31 and 188.68

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Solution

The fourth proportional to 225.13, 336.31 and 188.68 is: 281.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.13 : 336.31 = 188.68 : x
  2. Step 2: Convert to fraction form
    225.13/336.31 = 188.68/x
  3. Step 3: Cross multiply
    225.13x = 336.31 × 188.68
  4. Step 4: Simplify right side
    225.13x = 63,454.97
  5. Step 5: Solve for x
    x = 63,454.97/225.13
  6. Step 6: Final answer
    x = 281.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.