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Finding the Fourth Proportional to 279.87, 418.26 and 202.98

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Solution

The fourth proportional to 279.87, 418.26 and 202.98 is: 303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.87 : 418.26 = 202.98 : x
  2. Step 2: Convert to fraction form
    279.87/418.26 = 202.98/x
  3. Step 3: Cross multiply
    279.87x = 418.26 × 202.98
  4. Step 4: Simplify right side
    279.87x = 84,899.57
  5. Step 5: Solve for x
    x = 84,899.57/279.87
  6. Step 6: Final answer
    x = 303.36

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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.