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Finding the Fourth Proportional to 139.07, 208.29 and 108.20

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Solution

The fourth proportional to 139.07, 208.29 and 108.20 is: 162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.07 : 208.29 = 108.20 : x
  2. Step 2: Convert to fraction form
    139.07/208.29 = 108.20/x
  3. Step 3: Cross multiply
    139.07x = 208.29 × 108.20
  4. Step 4: Simplify right side
    139.07x = 22,536.98
  5. Step 5: Solve for x
    x = 22,536.98/139.07
  6. Step 6: Final answer
    x = 162.05

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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.