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Finding the Fourth Proportional to 308.83, 423.67 and 301.09

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Solution

The fourth proportional to 308.83, 423.67 and 301.09 is: 413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.83 : 423.67 = 301.09 : x
  2. Step 2: Convert to fraction form
    308.83/423.67 = 301.09/x
  3. Step 3: Cross multiply
    308.83x = 423.67 × 301.09
  4. Step 4: Simplify right side
    308.83x = 127,562.80
  5. Step 5: Solve for x
    x = 127,562.80/308.83
  6. Step 6: Final answer
    x = 413.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.