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Finding the Fourth Proportional to 159.20, 218.26 and 158

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Solution

The fourth proportional to 159.20, 218.26 and 158 is: 216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.20 : 218.26 = 158 : x
  2. Step 2: Convert to fraction form
    159.20/218.26 = 158/x
  3. Step 3: Cross multiply
    159.20x = 218.26 × 158
  4. Step 4: Simplify right side
    159.20x = 34,485.08
  5. Step 5: Solve for x
    x = 34,485.08/159.20
  6. Step 6: Final answer
    x = 216.61

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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.