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Finding the Fourth Proportional to 388.45, 585.40 and 349.97

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Solution

The fourth proportional to 388.45, 585.40 and 349.97 is: 527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.45 : 585.40 = 349.97 : x
  2. Step 2: Convert to fraction form
    388.45/585.40 = 349.97/x
  3. Step 3: Cross multiply
    388.45x = 585.40 × 349.97
  4. Step 4: Simplify right side
    388.45x = 204,872.44
  5. Step 5: Solve for x
    x = 204,872.44/388.45
  6. Step 6: Final answer
    x = 527.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.