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Finding the Fourth Proportional to 226.21, 312.23 and 128.00

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Solution

The fourth proportional to 226.21, 312.23 and 128.00 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.21 : 312.23 = 128.00 : x
  2. Step 2: Convert to fraction form
    226.21/312.23 = 128.00/x
  3. Step 3: Cross multiply
    226.21x = 312.23 × 128.00
  4. Step 4: Simplify right side
    226.21x = 39,964.76
  5. Step 5: Solve for x
    x = 39,964.76/226.21
  6. Step 6: Final answer
    x = 176.67

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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.