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Finding the Fourth Proportional to 201.34, 300.31 and 189.91

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Solution

The fourth proportional to 201.34, 300.31 and 189.91 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.34 : 300.31 = 189.91 : x
  2. Step 2: Convert to fraction form
    201.34/300.31 = 189.91/x
  3. Step 3: Cross multiply
    201.34x = 300.31 × 189.91
  4. Step 4: Simplify right side
    201.34x = 57,031.87
  5. Step 5: Solve for x
    x = 57,031.87/201.34
  6. Step 6: Final answer
    x = 283.26

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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.