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Finding the Fourth Proportional to 379.37, 523.15 and 340.63

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Solution

The fourth proportional to 379.37, 523.15 and 340.63 is: 469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.37 : 523.15 = 340.63 : x
  2. Step 2: Convert to fraction form
    379.37/523.15 = 340.63/x
  3. Step 3: Cross multiply
    379.37x = 523.15 × 340.63
  4. Step 4: Simplify right side
    379.37x = 178,200.58
  5. Step 5: Solve for x
    x = 178,200.58/379.37
  6. Step 6: Final answer
    x = 469.73

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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.