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Finding the Fourth Proportional to 311.59, 464.05 and 307.94

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Solution

The fourth proportional to 311.59, 464.05 and 307.94 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.59 : 464.05 = 307.94 : x
  2. Step 2: Convert to fraction form
    311.59/464.05 = 307.94/x
  3. Step 3: Cross multiply
    311.59x = 464.05 × 307.94
  4. Step 4: Simplify right side
    311.59x = 142,899.56
  5. Step 5: Solve for x
    x = 142,899.56/311.59
  6. Step 6: Final answer
    x = 458.61

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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.