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Finding the Fourth Proportional to 225.42, 336.39 and 192.90

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Solution

The fourth proportional to 225.42, 336.39 and 192.90 is: 287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 336.39 = 192.90 : x
  2. Step 2: Convert to fraction form
    225.42/336.39 = 192.90/x
  3. Step 3: Cross multiply
    225.42x = 336.39 × 192.90
  4. Step 4: Simplify right side
    225.42x = 64,889.63
  5. Step 5: Solve for x
    x = 64,889.63/225.42
  6. Step 6: Final answer
    x = 287.86

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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.