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Finding the Fourth Proportional to 388.68, 585.65 and 321.70

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Solution

The fourth proportional to 388.68, 585.65 and 321.70 is: 484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.68 : 585.65 = 321.70 : x
  2. Step 2: Convert to fraction form
    388.68/585.65 = 321.70/x
  3. Step 3: Cross multiply
    388.68x = 585.65 × 321.70
  4. Step 4: Simplify right side
    388.68x = 188,403.61
  5. Step 5: Solve for x
    x = 188,403.61/388.68
  6. Step 6: Final answer
    x = 484.73

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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.