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Finding the Fourth Proportional to 388.08, 531.99 and 381.09

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Solution

The fourth proportional to 388.08, 531.99 and 381.09 is: 522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.08 : 531.99 = 381.09 : x
  2. Step 2: Convert to fraction form
    388.08/531.99 = 381.09/x
  3. Step 3: Cross multiply
    388.08x = 531.99 × 381.09
  4. Step 4: Simplify right side
    388.08x = 202,736.07
  5. Step 5: Solve for x
    x = 202,736.07/388.08
  6. Step 6: Final answer
    x = 522.41

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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.