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Finding the Fourth Proportional to 357.73, 493.58 and 217.92

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Solution

The fourth proportional to 357.73, 493.58 and 217.92 is: 300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.73 : 493.58 = 217.92 : x
  2. Step 2: Convert to fraction form
    357.73/493.58 = 217.92/x
  3. Step 3: Cross multiply
    357.73x = 493.58 × 217.92
  4. Step 4: Simplify right side
    357.73x = 107,560.95
  5. Step 5: Solve for x
    x = 107,560.95/357.73
  6. Step 6: Final answer
    x = 300.68

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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.