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Finding the Fourth Proportional to 388.43, 585.28 and 321.46

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Solution

The fourth proportional to 388.43, 585.28 and 321.46 is: 484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.43 : 585.28 = 321.46 : x
  2. Step 2: Convert to fraction form
    388.43/585.28 = 321.46/x
  3. Step 3: Cross multiply
    388.43x = 585.28 × 321.46
  4. Step 4: Simplify right side
    388.43x = 188,141.84
  5. Step 5: Solve for x
    x = 188,141.84/388.43
  6. Step 6: Final answer
    x = 484.36

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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.