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Finding the Fourth Proportional to 388.25, 582.38 and 144.78

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Solution

The fourth proportional to 388.25, 582.38 and 144.78 is: 217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.25 : 582.38 = 144.78 : x
  2. Step 2: Convert to fraction form
    388.25/582.38 = 144.78/x
  3. Step 3: Cross multiply
    388.25x = 582.38 × 144.78
  4. Step 4: Simplify right side
    388.25x = 84,314.61
  5. Step 5: Solve for x
    x = 84,314.61/388.25
  6. Step 6: Final answer
    x = 217.17

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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.