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Finding the Fourth Proportional to 213.22, 317.80 and 211.51

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Solution

The fourth proportional to 213.22, 317.80 and 211.51 is: 315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.22 : 317.80 = 211.51 : x
  2. Step 2: Convert to fraction form
    213.22/317.80 = 211.51/x
  3. Step 3: Cross multiply
    213.22x = 317.80 × 211.51
  4. Step 4: Simplify right side
    213.22x = 67,217.88
  5. Step 5: Solve for x
    x = 67,217.88/213.22
  6. Step 6: Final answer
    x = 315.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.