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Finding the Fourth Proportional to 146.14, 218.94 and 100.45

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Solution

The fourth proportional to 146.14, 218.94 and 100.45 is: 150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.14 : 218.94 = 100.45 : x
  2. Step 2: Convert to fraction form
    146.14/218.94 = 100.45/x
  3. Step 3: Cross multiply
    146.14x = 218.94 × 100.45
  4. Step 4: Simplify right side
    146.14x = 21,992.52
  5. Step 5: Solve for x
    x = 21,992.52/146.14
  6. Step 6: Final answer
    x = 150.49

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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.