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Finding the Fourth Proportional to 388.06, 584.71 and 321.08

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Solution

The fourth proportional to 388.06, 584.71 and 321.08 is: 483.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.06 : 584.71 = 321.08 : x
  2. Step 2: Convert to fraction form
    388.06/584.71 = 321.08/x
  3. Step 3: Cross multiply
    388.06x = 584.71 × 321.08
  4. Step 4: Simplify right side
    388.06x = 187,738.69
  5. Step 5: Solve for x
    x = 187,738.69/388.06
  6. Step 6: Final answer
    x = 483.79

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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.