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Finding the Fourth Proportional to 339.68, 468.91 and 227.83

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Solution

The fourth proportional to 339.68, 468.91 and 227.83 is: 314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.68 : 468.91 = 227.83 : x
  2. Step 2: Convert to fraction form
    339.68/468.91 = 227.83/x
  3. Step 3: Cross multiply
    339.68x = 468.91 × 227.83
  4. Step 4: Simplify right side
    339.68x = 106,830.88
  5. Step 5: Solve for x
    x = 106,830.88/339.68
  6. Step 6: Final answer
    x = 314.51

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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.