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Finding the Fourth Proportional to 388.31, 585.13 and 321.34

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Solution

The fourth proportional to 388.31, 585.13 and 321.34 is: 484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.31 : 585.13 = 321.34 : x
  2. Step 2: Convert to fraction form
    388.31/585.13 = 321.34/x
  3. Step 3: Cross multiply
    388.31x = 585.13 × 321.34
  4. Step 4: Simplify right side
    388.31x = 188,025.67
  5. Step 5: Solve for x
    x = 188,025.67/388.31
  6. Step 6: Final answer
    x = 484.22

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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.