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Finding the Fourth Proportional to 493.00, 680.30 and 271.94

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Solution

The fourth proportional to 493.00, 680.30 and 271.94 is: 375.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.00 : 680.30 = 271.94 : x
  2. Step 2: Convert to fraction form
    493.00/680.30 = 271.94/x
  3. Step 3: Cross multiply
    493.00x = 680.30 × 271.94
  4. Step 4: Simplify right side
    493.00x = 184,996.02
  5. Step 5: Solve for x
    x = 184,996.02/493.00
  6. Step 6: Final answer
    x = 375.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.