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Finding the Fourth Proportional to 388.33, 582.26 and 285.86

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Solution

The fourth proportional to 388.33, 582.26 and 285.86 is: 428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.33 : 582.26 = 285.86 : x
  2. Step 2: Convert to fraction form
    388.33/582.26 = 285.86/x
  3. Step 3: Cross multiply
    388.33x = 582.26 × 285.86
  4. Step 4: Simplify right side
    388.33x = 166,444.87
  5. Step 5: Solve for x
    x = 166,444.87/388.33
  6. Step 6: Final answer
    x = 428.62

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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.