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Finding the Fourth Proportional to 279, 384.72 and 205.56

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Solution

The fourth proportional to 279, 384.72 and 205.56 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    279 : 384.72 = 205.56 : x
  2. Step 2: Convert to fraction form
    279/384.72 = 205.56/x
  3. Step 3: Cross multiply
    279x = 384.72 × 205.56
  4. Step 4: Simplify right side
    279x = 79,083.04
  5. Step 5: Solve for x
    x = 79,083.04/279
  6. Step 6: Final answer
    x = 283.45

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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.