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Finding the Fourth Proportional to 279.95, 416.97 and 274.05

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Solution

The fourth proportional to 279.95, 416.97 and 274.05 is: 408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.95 : 416.97 = 274.05 : x
  2. Step 2: Convert to fraction form
    279.95/416.97 = 274.05/x
  3. Step 3: Cross multiply
    279.95x = 416.97 × 274.05
  4. Step 4: Simplify right side
    279.95x = 114,270.63
  5. Step 5: Solve for x
    x = 114,270.63/279.95
  6. Step 6: Final answer
    x = 408.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.