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Finding the Fourth Proportional to 203.41, 306.39 and 189.16

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Solution

The fourth proportional to 203.41, 306.39 and 189.16 is: 284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.41 : 306.39 = 189.16 : x
  2. Step 2: Convert to fraction form
    203.41/306.39 = 189.16/x
  3. Step 3: Cross multiply
    203.41x = 306.39 × 189.16
  4. Step 4: Simplify right side
    203.41x = 57,954.91
  5. Step 5: Solve for x
    x = 57,954.91/203.41
  6. Step 6: Final answer
    x = 284.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.