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Finding the Fourth Proportional to 308.45, 423.20 and 300.69

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Solution

The fourth proportional to 308.45, 423.20 and 300.69 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.45 : 423.20 = 300.69 : x
  2. Step 2: Convert to fraction form
    308.45/423.20 = 300.69/x
  3. Step 3: Cross multiply
    308.45x = 423.20 × 300.69
  4. Step 4: Simplify right side
    308.45x = 127,252.76
  5. Step 5: Solve for x
    x = 127,252.76/308.45
  6. Step 6: Final answer
    x = 412.55

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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.