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Finding the Fourth Proportional to 158.82, 217.86 and 153.54

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Solution

The fourth proportional to 158.82, 217.86 and 153.54 is: 210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.82 : 217.86 = 153.54 : x
  2. Step 2: Convert to fraction form
    158.82/217.86 = 153.54/x
  3. Step 3: Cross multiply
    158.82x = 217.86 × 153.54
  4. Step 4: Simplify right side
    158.82x = 33,450.22
  5. Step 5: Solve for x
    x = 33,450.22/158.82
  6. Step 6: Final answer
    x = 210.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.