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Finding the Fourth Proportional to 375.38, 559.33 and 334.48

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Solution

The fourth proportional to 375.38, 559.33 and 334.48 is: 498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.38 : 559.33 = 334.48 : x
  2. Step 2: Convert to fraction form
    375.38/559.33 = 334.48/x
  3. Step 3: Cross multiply
    375.38x = 559.33 × 334.48
  4. Step 4: Simplify right side
    375.38x = 187,084.70
  5. Step 5: Solve for x
    x = 187,084.70/375.38
  6. Step 6: Final answer
    x = 498.39

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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.