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Finding the Fourth Proportional to 201.88, 302.64 and 92.08

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Solution

The fourth proportional to 201.88, 302.64 and 92.08 is: 138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 302.64 = 92.08 : x
  2. Step 2: Convert to fraction form
    201.88/302.64 = 92.08/x
  3. Step 3: Cross multiply
    201.88x = 302.64 × 92.08
  4. Step 4: Simplify right side
    201.88x = 27,867.09
  5. Step 5: Solve for x
    x = 27,867.09/201.88
  6. Step 6: Final answer
    x = 138.04

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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.