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Finding the Fourth Proportional to 311.50, 464.50 and 289.18

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Solution

The fourth proportional to 311.50, 464.50 and 289.18 is: 431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.50 : 464.50 = 289.18 : x
  2. Step 2: Convert to fraction form
    311.50/464.50 = 289.18/x
  3. Step 3: Cross multiply
    311.50x = 464.50 × 289.18
  4. Step 4: Simplify right side
    311.50x = 134,324.11
  5. Step 5: Solve for x
    x = 134,324.11/311.50
  6. Step 6: Final answer
    x = 431.22

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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.