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Finding the Fourth Proportional to 213.16, 317.54 and 199.88

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Solution

The fourth proportional to 213.16, 317.54 and 199.88 is: 297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.16 : 317.54 = 199.88 : x
  2. Step 2: Convert to fraction form
    213.16/317.54 = 199.88/x
  3. Step 3: Cross multiply
    213.16x = 317.54 × 199.88
  4. Step 4: Simplify right side
    213.16x = 63,469.90
  5. Step 5: Solve for x
    x = 63,469.90/213.16
  6. Step 6: Final answer
    x = 297.76

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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.