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Finding the Fourth Proportional to 340.37, 469.62 and 222.31

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Solution

The fourth proportional to 340.37, 469.62 and 222.31 is: 306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.37 : 469.62 = 222.31 : x
  2. Step 2: Convert to fraction form
    340.37/469.62 = 222.31/x
  3. Step 3: Cross multiply
    340.37x = 469.62 × 222.31
  4. Step 4: Simplify right side
    340.37x = 104,400.05
  5. Step 5: Solve for x
    x = 104,400.05/340.37
  6. Step 6: Final answer
    x = 306.73

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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.