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Finding the Fourth Proportional to 203.29, 304.54 and 116.37

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Solution

The fourth proportional to 203.29, 304.54 and 116.37 is: 174.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.29 : 304.54 = 116.37 : x
  2. Step 2: Convert to fraction form
    203.29/304.54 = 116.37/x
  3. Step 3: Cross multiply
    203.29x = 304.54 × 116.37
  4. Step 4: Simplify right side
    203.29x = 35,439.03
  5. Step 5: Solve for x
    x = 35,439.03/203.29
  6. Step 6: Final answer
    x = 174.33

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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.