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Finding the Fourth Proportional to 311.77, 429.91 and 267.67

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Solution

The fourth proportional to 311.77, 429.91 and 267.67 is: 369.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.77 : 429.91 = 267.67 : x
  2. Step 2: Convert to fraction form
    311.77/429.91 = 267.67/x
  3. Step 3: Cross multiply
    311.77x = 429.91 × 267.67
  4. Step 4: Simplify right side
    311.77x = 115,074.01
  5. Step 5: Solve for x
    x = 115,074.01/311.77
  6. Step 6: Final answer
    x = 369.10

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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.