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Finding the Fourth Proportional to 226.07, 312.01 and 143.27

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Solution

The fourth proportional to 226.07, 312.01 and 143.27 is: 197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.07 : 312.01 = 143.27 : x
  2. Step 2: Convert to fraction form
    226.07/312.01 = 143.27/x
  3. Step 3: Cross multiply
    226.07x = 312.01 × 143.27
  4. Step 4: Simplify right side
    226.07x = 44,701.93
  5. Step 5: Solve for x
    x = 44,701.93/226.07
  6. Step 6: Final answer
    x = 197.74

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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.