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Finding the Fourth Proportional to 279.42, 384.82 and 273.38

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Solution

The fourth proportional to 279.42, 384.82 and 273.38 is: 376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.42 : 384.82 = 273.38 : x
  2. Step 2: Convert to fraction form
    279.42/384.82 = 273.38/x
  3. Step 3: Cross multiply
    279.42x = 384.82 × 273.38
  4. Step 4: Simplify right side
    279.42x = 105,199.48
  5. Step 5: Solve for x
    x = 105,199.48/279.42
  6. Step 6: Final answer
    x = 376.50

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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.