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Finding the Fourth Proportional to 155.21, 212.87 and 144.27

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Solution

The fourth proportional to 155.21, 212.87 and 144.27 is: 197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.21 : 212.87 = 144.27 : x
  2. Step 2: Convert to fraction form
    155.21/212.87 = 144.27/x
  3. Step 3: Cross multiply
    155.21x = 212.87 × 144.27
  4. Step 4: Simplify right side
    155.21x = 30,711.12
  5. Step 5: Solve for x
    x = 30,711.12/155.21
  6. Step 6: Final answer
    x = 197.87

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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.