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Finding the Fourth Proportional to 336.62, 464.34 and 310.85

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Solution

The fourth proportional to 336.62, 464.34 and 310.85 is: 428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.62 : 464.34 = 310.85 : x
  2. Step 2: Convert to fraction form
    336.62/464.34 = 310.85/x
  3. Step 3: Cross multiply
    336.62x = 464.34 × 310.85
  4. Step 4: Simplify right side
    336.62x = 144,337.77
  5. Step 5: Solve for x
    x = 144,337.77/336.62
  6. Step 6: Final answer
    x = 428.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.