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Finding the Fourth Proportional to 141.08, 210.36 and 119.54

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Solution

The fourth proportional to 141.08, 210.36 and 119.54 is: 178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.08 : 210.36 = 119.54 : x
  2. Step 2: Convert to fraction form
    141.08/210.36 = 119.54/x
  3. Step 3: Cross multiply
    141.08x = 210.36 × 119.54
  4. Step 4: Simplify right side
    141.08x = 25,147.41
  5. Step 5: Solve for x
    x = 25,147.41/141.08
  6. Step 6: Final answer
    x = 178.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.