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Finding the Fourth Proportional to 119.58, 163.60 and 119.07

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Solution

The fourth proportional to 119.58, 163.60 and 119.07 is: 162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.58 : 163.60 = 119.07 : x
  2. Step 2: Convert to fraction form
    119.58/163.60 = 119.07/x
  3. Step 3: Cross multiply
    119.58x = 163.60 × 119.07
  4. Step 4: Simplify right side
    119.58x = 19,480.22
  5. Step 5: Solve for x
    x = 19,480.22/119.58
  6. Step 6: Final answer
    x = 162.90

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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.