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Finding the Fourth Proportional to 388.45, 582.75 and 128.44

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Solution

The fourth proportional to 388.45, 582.75 and 128.44 is: 192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.45 : 582.75 = 128.44 : x
  2. Step 2: Convert to fraction form
    388.45/582.75 = 128.44/x
  3. Step 3: Cross multiply
    388.45x = 582.75 × 128.44
  4. Step 4: Simplify right side
    388.45x = 74,845.86
  5. Step 5: Solve for x
    x = 74,845.86/388.45
  6. Step 6: Final answer
    x = 192.68

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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.