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Finding the Fourth Proportional to 311.01, 465.53 and 201.39

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Solution

The fourth proportional to 311.01, 465.53 and 201.39 is: 301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.01 : 465.53 = 201.39 : x
  2. Step 2: Convert to fraction form
    311.01/465.53 = 201.39/x
  3. Step 3: Cross multiply
    311.01x = 465.53 × 201.39
  4. Step 4: Simplify right side
    311.01x = 93,752.08
  5. Step 5: Solve for x
    x = 93,752.08/311.01
  6. Step 6: Final answer
    x = 301.44

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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.