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Finding the Fourth Proportional to 465.94, 642.94 and 279.43

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Solution

The fourth proportional to 465.94, 642.94 and 279.43 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.94 : 642.94 = 279.43 : x
  2. Step 2: Convert to fraction form
    465.94/642.94 = 279.43/x
  3. Step 3: Cross multiply
    465.94x = 642.94 × 279.43
  4. Step 4: Simplify right side
    465.94x = 179,659.89
  5. Step 5: Solve for x
    x = 179,659.89/465.94
  6. Step 6: Final answer
    x = 385.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.