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Finding the Fourth Proportional to 357.62, 493.63 and 217.82

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Solution

The fourth proportional to 357.62, 493.63 and 217.82 is: 300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.62 : 493.63 = 217.82 : x
  2. Step 2: Convert to fraction form
    357.62/493.63 = 217.82/x
  3. Step 3: Cross multiply
    357.62x = 493.63 × 217.82
  4. Step 4: Simplify right side
    357.62x = 107,523.18
  5. Step 5: Solve for x
    x = 107,523.18/357.62
  6. Step 6: Final answer
    x = 300.67

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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.