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Finding the Fourth Proportional to 203.22, 304.47 and 126.07

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Solution

The fourth proportional to 203.22, 304.47 and 126.07 is: 188.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.22 : 304.47 = 126.07 : x
  2. Step 2: Convert to fraction form
    203.22/304.47 = 126.07/x
  3. Step 3: Cross multiply
    203.22x = 304.47 × 126.07
  4. Step 4: Simplify right side
    203.22x = 38,384.53
  5. Step 5: Solve for x
    x = 38,384.53/203.22
  6. Step 6: Final answer
    x = 188.88

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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.