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Finding the Fourth Proportional to 280.98, 418.31 and 279.63

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Solution

The fourth proportional to 280.98, 418.31 and 279.63 is: 416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.98 : 418.31 = 279.63 : x
  2. Step 2: Convert to fraction form
    280.98/418.31 = 279.63/x
  3. Step 3: Cross multiply
    280.98x = 418.31 × 279.63
  4. Step 4: Simplify right side
    280.98x = 116,972.03
  5. Step 5: Solve for x
    x = 116,972.03/280.98
  6. Step 6: Final answer
    x = 416.30

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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.