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Finding the Fourth Proportional to 203.86, 304.58 and 169.23

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Solution

The fourth proportional to 203.86, 304.58 and 169.23 is: 252.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.86 : 304.58 = 169.23 : x
  2. Step 2: Convert to fraction form
    203.86/304.58 = 169.23/x
  3. Step 3: Cross multiply
    203.86x = 304.58 × 169.23
  4. Step 4: Simplify right side
    203.86x = 51,544.07
  5. Step 5: Solve for x
    x = 51,544.07/203.86
  6. Step 6: Final answer
    x = 252.84

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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.