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Finding the Fourth Proportional to 308.82, 429.08 and 304.94

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Solution

The fourth proportional to 308.82, 429.08 and 304.94 is: 423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.82 : 429.08 = 304.94 : x
  2. Step 2: Convert to fraction form
    308.82/429.08 = 304.94/x
  3. Step 3: Cross multiply
    308.82x = 429.08 × 304.94
  4. Step 4: Simplify right side
    308.82x = 130,843.66
  5. Step 5: Solve for x
    x = 130,843.66/308.82
  6. Step 6: Final answer
    x = 423.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.