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Finding the Fourth Proportional to 378.37, 521.78 and 339.63

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Solution

The fourth proportional to 378.37, 521.78 and 339.63 is: 468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.37 : 521.78 = 339.63 : x
  2. Step 2: Convert to fraction form
    378.37/521.78 = 339.63/x
  3. Step 3: Cross multiply
    378.37x = 521.78 × 339.63
  4. Step 4: Simplify right side
    378.37x = 177,208.49
  5. Step 5: Solve for x
    x = 177,208.49/378.37
  6. Step 6: Final answer
    x = 468.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.