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Finding the Fourth Proportional to 203.22, 303.30 and 178.92

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Solution

The fourth proportional to 203.22, 303.30 and 178.92 is: 267.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.22 : 303.30 = 178.92 : x
  2. Step 2: Convert to fraction form
    203.22/303.30 = 178.92/x
  3. Step 3: Cross multiply
    203.22x = 303.30 × 178.92
  4. Step 4: Simplify right side
    203.22x = 54,266.44
  5. Step 5: Solve for x
    x = 54,266.44/203.22
  6. Step 6: Final answer
    x = 267.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.