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Finding the Fourth Proportional to 227.15, 339.09 and 210.25

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Solution

The fourth proportional to 227.15, 339.09 and 210.25 is: 313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.15 : 339.09 = 210.25 : x
  2. Step 2: Convert to fraction form
    227.15/339.09 = 210.25/x
  3. Step 3: Cross multiply
    227.15x = 339.09 × 210.25
  4. Step 4: Simplify right side
    227.15x = 71,292.82
  5. Step 5: Solve for x
    x = 71,292.82/227.15
  6. Step 6: Final answer
    x = 313.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.