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Finding the Fourth Proportional to 150.41, 208.53 and 142.22

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Solution

The fourth proportional to 150.41, 208.53 and 142.22 is: 197.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.41 : 208.53 = 142.22 : x
  2. Step 2: Convert to fraction form
    150.41/208.53 = 142.22/x
  3. Step 3: Cross multiply
    150.41x = 208.53 × 142.22
  4. Step 4: Simplify right side
    150.41x = 29,657.14
  5. Step 5: Solve for x
    x = 29,657.14/150.41
  6. Step 6: Final answer
    x = 197.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.