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Finding the Fourth Proportional to 376.66, 520.26 and 306.82

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Solution

The fourth proportional to 376.66, 520.26 and 306.82 is: 423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.66 : 520.26 = 306.82 : x
  2. Step 2: Convert to fraction form
    376.66/520.26 = 306.82/x
  3. Step 3: Cross multiply
    376.66x = 520.26 × 306.82
  4. Step 4: Simplify right side
    376.66x = 159,626.17
  5. Step 5: Solve for x
    x = 159,626.17/376.66
  6. Step 6: Final answer
    x = 423.79

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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.