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Finding the Fourth Proportional to 154.83, 213.63 and 134.27

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Solution

The fourth proportional to 154.83, 213.63 and 134.27 is: 185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.83 : 213.63 = 134.27 : x
  2. Step 2: Convert to fraction form
    154.83/213.63 = 134.27/x
  3. Step 3: Cross multiply
    154.83x = 213.63 × 134.27
  4. Step 4: Simplify right side
    154.83x = 28,683.03
  5. Step 5: Solve for x
    x = 28,683.03/154.83
  6. Step 6: Final answer
    x = 185.26

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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.