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Finding the Fourth Proportional to 279.49, 417.41 and 241.06

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Solution

The fourth proportional to 279.49, 417.41 and 241.06 is: 360.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.49 : 417.41 = 241.06 : x
  2. Step 2: Convert to fraction form
    279.49/417.41 = 241.06/x
  3. Step 3: Cross multiply
    279.49x = 417.41 × 241.06
  4. Step 4: Simplify right side
    279.49x = 100,620.85
  5. Step 5: Solve for x
    x = 100,620.85/279.49
  6. Step 6: Final answer
    x = 360.02

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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.