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Finding the Fourth Proportional to 331.05, 495.80 and 278.75

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Solution

The fourth proportional to 331.05, 495.80 and 278.75 is: 417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.05 : 495.80 = 278.75 : x
  2. Step 2: Convert to fraction form
    331.05/495.80 = 278.75/x
  3. Step 3: Cross multiply
    331.05x = 495.80 × 278.75
  4. Step 4: Simplify right side
    331.05x = 138,200.38
  5. Step 5: Solve for x
    x = 138,200.38/331.05
  6. Step 6: Final answer
    x = 417.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.