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Finding the Fourth Proportional to 334.69, 504.50 and 306.96

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Solution

The fourth proportional to 334.69, 504.50 and 306.96 is: 462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.69 : 504.50 = 306.96 : x
  2. Step 2: Convert to fraction form
    334.69/504.50 = 306.96/x
  3. Step 3: Cross multiply
    334.69x = 504.50 × 306.96
  4. Step 4: Simplify right side
    334.69x = 154,861.32
  5. Step 5: Solve for x
    x = 154,861.32/334.69
  6. Step 6: Final answer
    x = 462.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.