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Finding the Fourth Proportional to 158.22, 218.25 and 140.94

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Solution

The fourth proportional to 158.22, 218.25 and 140.94 is: 194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.22 : 218.25 = 140.94 : x
  2. Step 2: Convert to fraction form
    158.22/218.25 = 140.94/x
  3. Step 3: Cross multiply
    158.22x = 218.25 × 140.94
  4. Step 4: Simplify right side
    158.22x = 30,760.16
  5. Step 5: Solve for x
    x = 30,760.16/158.22
  6. Step 6: Final answer
    x = 194.41

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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.