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Finding the Fourth Proportional to 375.94, 514.91 and 353.80

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Solution

The fourth proportional to 375.94, 514.91 and 353.80 is: 484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 514.91 = 353.80 : x
  2. Step 2: Convert to fraction form
    375.94/514.91 = 353.80/x
  3. Step 3: Cross multiply
    375.94x = 514.91 × 353.80
  4. Step 4: Simplify right side
    375.94x = 182,175.16
  5. Step 5: Solve for x
    x = 182,175.16/375.94
  6. Step 6: Final answer
    x = 484.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.