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Finding the Fourth Proportional to 388.09, 584.81 and 321.12

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Solution

The fourth proportional to 388.09, 584.81 and 321.12 is: 483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.09 : 584.81 = 321.12 : x
  2. Step 2: Convert to fraction form
    388.09/584.81 = 321.12/x
  3. Step 3: Cross multiply
    388.09x = 584.81 × 321.12
  4. Step 4: Simplify right side
    388.09x = 187,792.58
  5. Step 5: Solve for x
    x = 187,792.58/388.09
  6. Step 6: Final answer
    x = 483.89

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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.