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Finding the Fourth Proportional to 388.94, 584.15 and 312.39

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Solution

The fourth proportional to 388.94, 584.15 and 312.39 is: 469.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.94 : 584.15 = 312.39 : x
  2. Step 2: Convert to fraction form
    388.94/584.15 = 312.39/x
  3. Step 3: Cross multiply
    388.94x = 584.15 × 312.39
  4. Step 4: Simplify right side
    388.94x = 182,481.06
  5. Step 5: Solve for x
    x = 182,481.06/388.94
  6. Step 6: Final answer
    x = 469.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.