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Finding the Fourth Proportional to 203.34, 304.31 and 166.35

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Solution

The fourth proportional to 203.34, 304.31 and 166.35 is: 248.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.34 : 304.31 = 166.35 : x
  2. Step 2: Convert to fraction form
    203.34/304.31 = 166.35/x
  3. Step 3: Cross multiply
    203.34x = 304.31 × 166.35
  4. Step 4: Simplify right side
    203.34x = 50,623.03
  5. Step 5: Solve for x
    x = 50,623.03/203.34
  6. Step 6: Final answer
    x = 248.95

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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.