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Finding the Fourth Proportional to 230.56, 347.64 and 218.72

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Solution

The fourth proportional to 230.56, 347.64 and 218.72 is: 329.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.56 : 347.64 = 218.72 : x
  2. Step 2: Convert to fraction form
    230.56/347.64 = 218.72/x
  3. Step 3: Cross multiply
    230.56x = 347.64 × 218.72
  4. Step 4: Simplify right side
    230.56x = 76,035.82
  5. Step 5: Solve for x
    x = 76,035.82/230.56
  6. Step 6: Final answer
    x = 329.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.