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Finding the Fourth Proportional to 465.31, 642.09 and 268.78

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Solution

The fourth proportional to 465.31, 642.09 and 268.78 is: 370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.31 : 642.09 = 268.78 : x
  2. Step 2: Convert to fraction form
    465.31/642.09 = 268.78/x
  3. Step 3: Cross multiply
    465.31x = 642.09 × 268.78
  4. Step 4: Simplify right side
    465.31x = 172,580.95
  5. Step 5: Solve for x
    x = 172,580.95/465.31
  6. Step 6: Final answer
    x = 370.89

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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.