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Finding the Fourth Proportional to 159.06, 238.54 and 105.24

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Solution

The fourth proportional to 159.06, 238.54 and 105.24 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.06 : 238.54 = 105.24 : x
  2. Step 2: Convert to fraction form
    159.06/238.54 = 105.24/x
  3. Step 3: Cross multiply
    159.06x = 238.54 × 105.24
  4. Step 4: Simplify right side
    159.06x = 25,103.95
  5. Step 5: Solve for x
    x = 25,103.95/159.06
  6. Step 6: Final answer
    x = 157.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.