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Finding the Fourth Proportional to 207.70, 311.56 and 139.37

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Solution

The fourth proportional to 207.70, 311.56 and 139.37 is: 209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.70 : 311.56 = 139.37 : x
  2. Step 2: Convert to fraction form
    207.70/311.56 = 139.37/x
  3. Step 3: Cross multiply
    207.70x = 311.56 × 139.37
  4. Step 4: Simplify right side
    207.70x = 43,420.21
  5. Step 5: Solve for x
    x = 43,420.21/207.70
  6. Step 6: Final answer
    x = 209.06

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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.