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Finding the Fourth Proportional to 388.98, 582.08 and 312.44

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Solution

The fourth proportional to 388.98, 582.08 and 312.44 is: 467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.98 : 582.08 = 312.44 : x
  2. Step 2: Convert to fraction form
    388.98/582.08 = 312.44/x
  3. Step 3: Cross multiply
    388.98x = 582.08 × 312.44
  4. Step 4: Simplify right side
    388.98x = 181,865.08
  5. Step 5: Solve for x
    x = 181,865.08/388.98
  6. Step 6: Final answer
    x = 467.54

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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.