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Finding the Fourth Proportional to 331.06, 495.61 and 278.62

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Solution

The fourth proportional to 331.06, 495.61 and 278.62 is: 417.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.06 : 495.61 = 278.62 : x
  2. Step 2: Convert to fraction form
    331.06/495.61 = 278.62/x
  3. Step 3: Cross multiply
    331.06x = 495.61 × 278.62
  4. Step 4: Simplify right side
    331.06x = 138,086.86
  5. Step 5: Solve for x
    x = 138,086.86/331.06
  6. Step 6: Final answer
    x = 417.11

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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.