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Finding the Fourth Proportional to 207.31, 312.46 and 198.05

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Solution

The fourth proportional to 207.31, 312.46 and 198.05 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.31 : 312.46 = 198.05 : x
  2. Step 2: Convert to fraction form
    207.31/312.46 = 198.05/x
  3. Step 3: Cross multiply
    207.31x = 312.46 × 198.05
  4. Step 4: Simplify right side
    207.31x = 61,881.90
  5. Step 5: Solve for x
    x = 61,881.90/207.31
  6. Step 6: Final answer
    x = 298.50

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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.