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Finding the Fourth Proportional to 213.23, 317.99 and 211.29

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Solution

The fourth proportional to 213.23, 317.99 and 211.29 is: 315.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 317.99 = 211.29 : x
  2. Step 2: Convert to fraction form
    213.23/317.99 = 211.29/x
  3. Step 3: Cross multiply
    213.23x = 317.99 × 211.29
  4. Step 4: Simplify right side
    213.23x = 67,186.45
  5. Step 5: Solve for x
    x = 67,186.45/213.23
  6. Step 6: Final answer
    x = 315.08

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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.