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Finding the Fourth Proportional to 212.72, 317.26 and 209.08

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Solution

The fourth proportional to 212.72, 317.26 and 209.08 is: 311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.72 : 317.26 = 209.08 : x
  2. Step 2: Convert to fraction form
    212.72/317.26 = 209.08/x
  3. Step 3: Cross multiply
    212.72x = 317.26 × 209.08
  4. Step 4: Simplify right side
    212.72x = 66,330.09
  5. Step 5: Solve for x
    x = 66,330.09/212.72
  6. Step 6: Final answer
    x = 311.82

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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.