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Finding the Fourth Proportional to 651.46, 976.86 and 218.56

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Solution

The fourth proportional to 651.46, 976.86 and 218.56 is: 327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.46 : 976.86 = 218.56 : x
  2. Step 2: Convert to fraction form
    651.46/976.86 = 218.56/x
  3. Step 3: Cross multiply
    651.46x = 976.86 × 218.56
  4. Step 4: Simplify right side
    651.46x = 213,502.52
  5. Step 5: Solve for x
    x = 213,502.52/651.46
  6. Step 6: Final answer
    x = 327.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.