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Finding the Fourth Proportional to 311.45, 464.94 and 290.79

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Solution

The fourth proportional to 311.45, 464.94 and 290.79 is: 434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.45 : 464.94 = 290.79 : x
  2. Step 2: Convert to fraction form
    311.45/464.94 = 290.79/x
  3. Step 3: Cross multiply
    311.45x = 464.94 × 290.79
  4. Step 4: Simplify right side
    311.45x = 135,199.90
  5. Step 5: Solve for x
    x = 135,199.90/311.45
  6. Step 6: Final answer
    x = 434.11

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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.