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Finding the Fourth Proportional to 139.26, 208.04 and 100.41

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Solution

The fourth proportional to 139.26, 208.04 and 100.41 is: 150.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.26 : 208.04 = 100.41 : x
  2. Step 2: Convert to fraction form
    139.26/208.04 = 100.41/x
  3. Step 3: Cross multiply
    139.26x = 208.04 × 100.41
  4. Step 4: Simplify right side
    139.26x = 20,888.79
  5. Step 5: Solve for x
    x = 20,888.79/139.26
  6. Step 6: Final answer
    x = 150.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.