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Finding the Fourth Proportional to 201.24, 301.53 and 128.94

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Solution

The fourth proportional to 201.24, 301.53 and 128.94 is: 193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 301.53 = 128.94 : x
  2. Step 2: Convert to fraction form
    201.24/301.53 = 128.94/x
  3. Step 3: Cross multiply
    201.24x = 301.53 × 128.94
  4. Step 4: Simplify right side
    201.24x = 38,879.28
  5. Step 5: Solve for x
    x = 38,879.28/201.24
  6. Step 6: Final answer
    x = 193.20

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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.