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Finding the Fourth Proportional to 217.85, 300.53 and 139.12

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Solution

The fourth proportional to 217.85, 300.53 and 139.12 is: 191.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.85 : 300.53 = 139.12 : x
  2. Step 2: Convert to fraction form
    217.85/300.53 = 139.12/x
  3. Step 3: Cross multiply
    217.85x = 300.53 × 139.12
  4. Step 4: Simplify right side
    217.85x = 41,809.50
  5. Step 5: Solve for x
    x = 41,809.50/217.85
  6. Step 6: Final answer
    x = 191.92

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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.