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Finding the Fourth Proportional to 207.36, 312.48 and 199.80

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Solution

The fourth proportional to 207.36, 312.48 and 199.80 is: 301.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 312.48 = 199.80 : x
  2. Step 2: Convert to fraction form
    207.36/312.48 = 199.80/x
  3. Step 3: Cross multiply
    207.36x = 312.48 × 199.80
  4. Step 4: Simplify right side
    207.36x = 62,433.50
  5. Step 5: Solve for x
    x = 62,433.50/207.36
  6. Step 6: Final answer
    x = 301.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.