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Finding the Fourth Proportional to 201.95, 304.25 and 173.69

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Solution

The fourth proportional to 201.95, 304.25 and 173.69 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.95 : 304.25 = 173.69 : x
  2. Step 2: Convert to fraction form
    201.95/304.25 = 173.69/x
  3. Step 3: Cross multiply
    201.95x = 304.25 × 173.69
  4. Step 4: Simplify right side
    201.95x = 52,844.10
  5. Step 5: Solve for x
    x = 52,844.10/201.95
  6. Step 6: Final answer
    x = 261.68

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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.