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Finding the Fourth Proportional to 185.42, 255.80 and 119.01

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Solution

The fourth proportional to 185.42, 255.80 and 119.01 is: 164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.42 : 255.80 = 119.01 : x
  2. Step 2: Convert to fraction form
    185.42/255.80 = 119.01/x
  3. Step 3: Cross multiply
    185.42x = 255.80 × 119.01
  4. Step 4: Simplify right side
    185.42x = 30,442.16
  5. Step 5: Solve for x
    x = 30,442.16/185.42
  6. Step 6: Final answer
    x = 164.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.