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Finding the Fourth Proportional to 279.93, 418.23 and 270.36

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Solution

The fourth proportional to 279.93, 418.23 and 270.36 is: 403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.93 : 418.23 = 270.36 : x
  2. Step 2: Convert to fraction form
    279.93/418.23 = 270.36/x
  3. Step 3: Cross multiply
    279.93x = 418.23 × 270.36
  4. Step 4: Simplify right side
    279.93x = 113,072.66
  5. Step 5: Solve for x
    x = 113,072.66/279.93
  6. Step 6: Final answer
    x = 403.93

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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.