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Finding the Fourth Proportional to 207.78, 312.21 and 192.84

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Solution

The fourth proportional to 207.78, 312.21 and 192.84 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.78 : 312.21 = 192.84 : x
  2. Step 2: Convert to fraction form
    207.78/312.21 = 192.84/x
  3. Step 3: Cross multiply
    207.78x = 312.21 × 192.84
  4. Step 4: Simplify right side
    207.78x = 60,206.58
  5. Step 5: Solve for x
    x = 60,206.58/207.78
  6. Step 6: Final answer
    x = 289.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.