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Finding the Fourth Proportional to 334.85, 499.83 and 310.76

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Solution

The fourth proportional to 334.85, 499.83 and 310.76 is: 463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.85 : 499.83 = 310.76 : x
  2. Step 2: Convert to fraction form
    334.85/499.83 = 310.76/x
  3. Step 3: Cross multiply
    334.85x = 499.83 × 310.76
  4. Step 4: Simplify right side
    334.85x = 155,325.62
  5. Step 5: Solve for x
    x = 155,325.62/334.85
  6. Step 6: Final answer
    x = 463.87

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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.