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Finding the Fourth Proportional to 388.35, 585.60 and 381.06

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Solution

The fourth proportional to 388.35, 585.60 and 381.06 is: 574.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.35 : 585.60 = 381.06 : x
  2. Step 2: Convert to fraction form
    388.35/585.60 = 381.06/x
  3. Step 3: Cross multiply
    388.35x = 585.60 × 381.06
  4. Step 4: Simplify right side
    388.35x = 223,148.74
  5. Step 5: Solve for x
    x = 223,148.74/388.35
  6. Step 6: Final answer
    x = 574.61

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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.