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Finding the Fourth Proportional to 203.25, 302.95 and 191.42

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Solution

The fourth proportional to 203.25, 302.95 and 191.42 is: 285.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.25 : 302.95 = 191.42 : x
  2. Step 2: Convert to fraction form
    203.25/302.95 = 191.42/x
  3. Step 3: Cross multiply
    203.25x = 302.95 × 191.42
  4. Step 4: Simplify right side
    203.25x = 57,988.22
  5. Step 5: Solve for x
    x = 57,988.22/203.25
  6. Step 6: Final answer
    x = 285.30

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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.