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Finding the Fourth Proportional to 207.12, 311.84 and 199.52

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Solution

The fourth proportional to 207.12, 311.84 and 199.52 is: 300.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.12 : 311.84 = 199.52 : x
  2. Step 2: Convert to fraction form
    207.12/311.84 = 199.52/x
  3. Step 3: Cross multiply
    207.12x = 311.84 × 199.52
  4. Step 4: Simplify right side
    207.12x = 62,218.32
  5. Step 5: Solve for x
    x = 62,218.32/207.12
  6. Step 6: Final answer
    x = 300.40

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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.