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Finding the Fourth Proportional to 311.34, 464.59 and 267.60

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Solution

The fourth proportional to 311.34, 464.59 and 267.60 is: 399.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.34 : 464.59 = 267.60 : x
  2. Step 2: Convert to fraction form
    311.34/464.59 = 267.60/x
  3. Step 3: Cross multiply
    311.34x = 464.59 × 267.60
  4. Step 4: Simplify right side
    311.34x = 124,324.86
  5. Step 5: Solve for x
    x = 124,324.86/311.34
  6. Step 6: Final answer
    x = 399.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.