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Finding the Fourth Proportional to 486.12, 670.62 and 279

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Solution

The fourth proportional to 486.12, 670.62 and 279 is: 384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.12 : 670.62 = 279 : x
  2. Step 2: Convert to fraction form
    486.12/670.62 = 279/x
  3. Step 3: Cross multiply
    486.12x = 670.62 × 279
  4. Step 4: Simplify right side
    486.12x = 187,102.98
  5. Step 5: Solve for x
    x = 187,102.98/486.12
  6. Step 6: Final answer
    x = 384.89

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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.