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Finding the Fourth Proportional to 203.43, 303.65 and 179.13

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Solution

The fourth proportional to 203.43, 303.65 and 179.13 is: 267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.43 : 303.65 = 179.13 : x
  2. Step 2: Convert to fraction form
    203.43/303.65 = 179.13/x
  3. Step 3: Cross multiply
    203.43x = 303.65 × 179.13
  4. Step 4: Simplify right side
    203.43x = 54,392.82
  5. Step 5: Solve for x
    x = 54,392.82/203.43
  6. Step 6: Final answer
    x = 267.38

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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.