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Finding the Fourth Proportional to 213.32, 317.20 and 209.20

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Solution

The fourth proportional to 213.32, 317.20 and 209.20 is: 311.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.32 : 317.20 = 209.20 : x
  2. Step 2: Convert to fraction form
    213.32/317.20 = 209.20/x
  3. Step 3: Cross multiply
    213.32x = 317.20 × 209.20
  4. Step 4: Simplify right side
    213.32x = 66,358.24
  5. Step 5: Solve for x
    x = 66,358.24/213.32
  6. Step 6: Final answer
    x = 311.07

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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.