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Finding the Fourth Proportional to 226.12, 312.06 and 157

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Solution

The fourth proportional to 226.12, 312.06 and 157 is: 216.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.12 : 312.06 = 157 : x
  2. Step 2: Convert to fraction form
    226.12/312.06 = 157/x
  3. Step 3: Cross multiply
    226.12x = 312.06 × 157
  4. Step 4: Simplify right side
    226.12x = 48,993.42
  5. Step 5: Solve for x
    x = 48,993.42/226.12
  6. Step 6: Final answer
    x = 216.67

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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.