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Finding the Fourth Proportional to 201.36, 302.27 and 188.15

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Solution

The fourth proportional to 201.36, 302.27 and 188.15 is: 282.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.36 : 302.27 = 188.15 : x
  2. Step 2: Convert to fraction form
    201.36/302.27 = 188.15/x
  3. Step 3: Cross multiply
    201.36x = 302.27 × 188.15
  4. Step 4: Simplify right side
    201.36x = 56,872.10
  5. Step 5: Solve for x
    x = 56,872.10/201.36
  6. Step 6: Final answer
    x = 282.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.