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Finding the Fourth Proportional to 158.22, 218.24 and 133.78

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Solution

The fourth proportional to 158.22, 218.24 and 133.78 is: 184.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.22 : 218.24 = 133.78 : x
  2. Step 2: Convert to fraction form
    158.22/218.24 = 133.78/x
  3. Step 3: Cross multiply
    158.22x = 218.24 × 133.78
  4. Step 4: Simplify right side
    158.22x = 29,196.15
  5. Step 5: Solve for x
    x = 29,196.15/158.22
  6. Step 6: Final answer
    x = 184.53

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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.