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Finding the Fourth Proportional to 207.95, 311.49 and 104.92

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Solution

The fourth proportional to 207.95, 311.49 and 104.92 is: 157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.95 : 311.49 = 104.92 : x
  2. Step 2: Convert to fraction form
    207.95/311.49 = 104.92/x
  3. Step 3: Cross multiply
    207.95x = 311.49 × 104.92
  4. Step 4: Simplify right side
    207.95x = 32,680.75
  5. Step 5: Solve for x
    x = 32,680.75/207.95
  6. Step 6: Final answer
    x = 157.16

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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.