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Finding the Fourth Proportional to 150.94, 208.38 and 109.42

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Solution

The fourth proportional to 150.94, 208.38 and 109.42 is: 151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 208.38 = 109.42 : x
  2. Step 2: Convert to fraction form
    150.94/208.38 = 109.42/x
  3. Step 3: Cross multiply
    150.94x = 208.38 × 109.42
  4. Step 4: Simplify right side
    150.94x = 22,800.94
  5. Step 5: Solve for x
    x = 22,800.94/150.94
  6. Step 6: Final answer
    x = 151.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.