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Finding the Fourth Proportional to 213.34, 317.72 and 209.65

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Solution

The fourth proportional to 213.34, 317.72 and 209.65 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.34 : 317.72 = 209.65 : x
  2. Step 2: Convert to fraction form
    213.34/317.72 = 209.65/x
  3. Step 3: Cross multiply
    213.34x = 317.72 × 209.65
  4. Step 4: Simplify right side
    213.34x = 66,610.00
  5. Step 5: Solve for x
    x = 66,610.00/213.34
  6. Step 6: Final answer
    x = 312.22

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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.