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Finding the Fourth Proportional to 311.64, 464.90 and 289.55

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Solution

The fourth proportional to 311.64, 464.90 and 289.55 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.64 : 464.90 = 289.55 : x
  2. Step 2: Convert to fraction form
    311.64/464.90 = 289.55/x
  3. Step 3: Cross multiply
    311.64x = 464.90 × 289.55
  4. Step 4: Simplify right side
    311.64x = 134,608.02
  5. Step 5: Solve for x
    x = 134,608.02/311.64
  6. Step 6: Final answer
    x = 431.93

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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.