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Finding the Fourth Proportional to 465.78, 642.60 and 279.27

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Solution

The fourth proportional to 465.78, 642.60 and 279.27 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.78 : 642.60 = 279.27 : x
  2. Step 2: Convert to fraction form
    465.78/642.60 = 279.27/x
  3. Step 3: Cross multiply
    465.78x = 642.60 × 279.27
  4. Step 4: Simplify right side
    465.78x = 179,458.90
  5. Step 5: Solve for x
    x = 179,458.90/465.78
  6. Step 6: Final answer
    x = 385.29

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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.