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Finding the Fourth Proportional to 213.65, 318.60 and 199.05

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Solution

The fourth proportional to 213.65, 318.60 and 199.05 is: 296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.65 : 318.60 = 199.05 : x
  2. Step 2: Convert to fraction form
    213.65/318.60 = 199.05/x
  3. Step 3: Cross multiply
    213.65x = 318.60 × 199.05
  4. Step 4: Simplify right side
    213.65x = 63,417.33
  5. Step 5: Solve for x
    x = 63,417.33/213.65
  6. Step 6: Final answer
    x = 296.82

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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.