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Finding the Fourth Proportional to 213.42, 318.66 and 209.64

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Solution

The fourth proportional to 213.42, 318.66 and 209.64 is: 313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 318.66 = 209.64 : x
  2. Step 2: Convert to fraction form
    213.42/318.66 = 209.64/x
  3. Step 3: Cross multiply
    213.42x = 318.66 × 209.64
  4. Step 4: Simplify right side
    213.42x = 66,803.88
  5. Step 5: Solve for x
    x = 66,803.88/213.42
  6. Step 6: Final answer
    x = 313.02

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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.