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Finding the Fourth Proportional to 375.38, 514.72 and 338.39

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Solution

The fourth proportional to 375.38, 514.72 and 338.39 is: 463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.38 : 514.72 = 338.39 : x
  2. Step 2: Convert to fraction form
    375.38/514.72 = 338.39/x
  3. Step 3: Cross multiply
    375.38x = 514.72 × 338.39
  4. Step 4: Simplify right side
    375.38x = 174,174.41
  5. Step 5: Solve for x
    x = 174,174.41/375.38
  6. Step 6: Final answer
    x = 463.99

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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.