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Finding the Fourth Proportional to 388.13, 584.85 and 321.15

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Solution

The fourth proportional to 388.13, 584.85 and 321.15 is: 483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.13 : 584.85 = 321.15 : x
  2. Step 2: Convert to fraction form
    388.13/584.85 = 321.15/x
  3. Step 3: Cross multiply
    388.13x = 584.85 × 321.15
  4. Step 4: Simplify right side
    388.13x = 187,824.58
  5. Step 5: Solve for x
    x = 187,824.58/388.13
  6. Step 6: Final answer
    x = 483.93

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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.