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Finding the Fourth Proportional to 217.16, 301.75 and 214.94

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Solution

The fourth proportional to 217.16, 301.75 and 214.94 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.16 : 301.75 = 214.94 : x
  2. Step 2: Convert to fraction form
    217.16/301.75 = 214.94/x
  3. Step 3: Cross multiply
    217.16x = 301.75 × 214.94
  4. Step 4: Simplify right side
    217.16x = 64,856.90
  5. Step 5: Solve for x
    x = 64,856.90/217.16
  6. Step 6: Final answer
    x = 298.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.