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Finding the Fourth Proportional to 379.49, 523.53 and 305.91

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Solution

The fourth proportional to 379.49, 523.53 and 305.91 is: 422.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.49 : 523.53 = 305.91 : x
  2. Step 2: Convert to fraction form
    379.49/523.53 = 305.91/x
  3. Step 3: Cross multiply
    379.49x = 523.53 × 305.91
  4. Step 4: Simplify right side
    379.49x = 160,153.06
  5. Step 5: Solve for x
    x = 160,153.06/379.49
  6. Step 6: Final answer
    x = 422.03

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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.