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Finding the Fourth Proportional to 279.95, 420.26 and 272.97

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Solution

The fourth proportional to 279.95, 420.26 and 272.97 is: 409.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.95 : 420.26 = 272.97 : x
  2. Step 2: Convert to fraction form
    279.95/420.26 = 272.97/x
  3. Step 3: Cross multiply
    279.95x = 420.26 × 272.97
  4. Step 4: Simplify right side
    279.95x = 114,717.01
  5. Step 5: Solve for x
    x = 114,717.01/279.95
  6. Step 6: Final answer
    x = 409.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.