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Finding the Fourth Proportional to 203.23, 304.57 and 126.28

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Solution

The fourth proportional to 203.23, 304.57 and 126.28 is: 189.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.23 : 304.57 = 126.28 : x
  2. Step 2: Convert to fraction form
    203.23/304.57 = 126.28/x
  3. Step 3: Cross multiply
    203.23x = 304.57 × 126.28
  4. Step 4: Simplify right side
    203.23x = 38,461.10
  5. Step 5: Solve for x
    x = 38,461.10/203.23
  6. Step 6: Final answer
    x = 189.25

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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.