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Finding the Fourth Proportional to 213.99, 317.04 and 211.56

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Solution

The fourth proportional to 213.99, 317.04 and 211.56 is: 313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.99 : 317.04 = 211.56 : x
  2. Step 2: Convert to fraction form
    213.99/317.04 = 211.56/x
  3. Step 3: Cross multiply
    213.99x = 317.04 × 211.56
  4. Step 4: Simplify right side
    213.99x = 67,072.98
  5. Step 5: Solve for x
    x = 67,072.98/213.99
  6. Step 6: Final answer
    x = 313.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.