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Finding the Fourth Proportional to 441.67, 661.95 and 279.40

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Solution

The fourth proportional to 441.67, 661.95 and 279.40 is: 418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.67 : 661.95 = 279.40 : x
  2. Step 2: Convert to fraction form
    441.67/661.95 = 279.40/x
  3. Step 3: Cross multiply
    441.67x = 661.95 × 279.40
  4. Step 4: Simplify right side
    441.67x = 184,947.18
  5. Step 5: Solve for x
    x = 184,947.18/441.67
  6. Step 6: Final answer
    x = 418.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.