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Finding the Fourth Proportional to 203.49, 304.69 and 142.20

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Solution

The fourth proportional to 203.49, 304.69 and 142.20 is: 212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.49 : 304.69 = 142.20 : x
  2. Step 2: Convert to fraction form
    203.49/304.69 = 142.20/x
  3. Step 3: Cross multiply
    203.49x = 304.69 × 142.20
  4. Step 4: Simplify right side
    203.49x = 43,326.92
  5. Step 5: Solve for x
    x = 43,326.92/203.49
  6. Step 6: Final answer
    x = 212.92

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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.