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Finding the Fourth Proportional to 331.60, 495.23 and 277.54

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Solution

The fourth proportional to 331.60, 495.23 and 277.54 is: 414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.60 : 495.23 = 277.54 : x
  2. Step 2: Convert to fraction form
    331.60/495.23 = 277.54/x
  3. Step 3: Cross multiply
    331.60x = 495.23 × 277.54
  4. Step 4: Simplify right side
    331.60x = 137,446.13
  5. Step 5: Solve for x
    x = 137,446.13/331.60
  6. Step 6: Final answer
    x = 414.49

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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.