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Finding the Fourth Proportional to 279.73, 384.84 and 272.05

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Solution

The fourth proportional to 279.73, 384.84 and 272.05 is: 374.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.73 : 384.84 = 272.05 : x
  2. Step 2: Convert to fraction form
    279.73/384.84 = 272.05/x
  3. Step 3: Cross multiply
    279.73x = 384.84 × 272.05
  4. Step 4: Simplify right side
    279.73x = 104,695.72
  5. Step 5: Solve for x
    x = 104,695.72/279.73
  6. Step 6: Final answer
    x = 374.27

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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.