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Finding the Fourth Proportional to 203.42, 302.94 and 191

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Solution

The fourth proportional to 203.42, 302.94 and 191 is: 284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.42 : 302.94 = 191 : x
  2. Step 2: Convert to fraction form
    203.42/302.94 = 191/x
  3. Step 3: Cross multiply
    203.42x = 302.94 × 191
  4. Step 4: Simplify right side
    203.42x = 57,861.54
  5. Step 5: Solve for x
    x = 57,861.54/203.42
  6. Step 6: Final answer
    x = 284.44

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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.