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Finding the Fourth Proportional to 229.94, 345.16 and 169.39

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Solution

The fourth proportional to 229.94, 345.16 and 169.39 is: 254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.94 : 345.16 = 169.39 : x
  2. Step 2: Convert to fraction form
    229.94/345.16 = 169.39/x
  3. Step 3: Cross multiply
    229.94x = 345.16 × 169.39
  4. Step 4: Simplify right side
    229.94x = 58,467.30
  5. Step 5: Solve for x
    x = 58,467.30/229.94
  6. Step 6: Final answer
    x = 254.27

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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.