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Finding the Fourth Proportional to 388.83, 533.46 and 378.57

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Solution

The fourth proportional to 388.83, 533.46 and 378.57 is: 519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.83 : 533.46 = 378.57 : x
  2. Step 2: Convert to fraction form
    388.83/533.46 = 378.57/x
  3. Step 3: Cross multiply
    388.83x = 533.46 × 378.57
  4. Step 4: Simplify right side
    388.83x = 201,951.95
  5. Step 5: Solve for x
    x = 201,951.95/388.83
  6. Step 6: Final answer
    x = 519.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.