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Finding the Fourth Proportional to 213.55, 318.07 and 209.05

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Solution

The fourth proportional to 213.55, 318.07 and 209.05 is: 311.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.55 : 318.07 = 209.05 : x
  2. Step 2: Convert to fraction form
    213.55/318.07 = 209.05/x
  3. Step 3: Cross multiply
    213.55x = 318.07 × 209.05
  4. Step 4: Simplify right side
    213.55x = 66,492.00
  5. Step 5: Solve for x
    x = 66,492.00/213.55
  6. Step 6: Final answer
    x = 311.37

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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.