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Finding the Fourth Proportional to 158.20, 218.36 and 105.78

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Solution

The fourth proportional to 158.20, 218.36 and 105.78 is: 146.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.20 : 218.36 = 105.78 : x
  2. Step 2: Convert to fraction form
    158.20/218.36 = 105.78/x
  3. Step 3: Cross multiply
    158.20x = 218.36 × 105.78
  4. Step 4: Simplify right side
    158.20x = 23,099.20
  5. Step 5: Solve for x
    x = 23,099.20/158.20
  6. Step 6: Final answer
    x = 146.01

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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.