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Finding the Fourth Proportional to 465.89, 642.74 and 269.37

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Solution

The fourth proportional to 465.89, 642.74 and 269.37 is: 371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.89 : 642.74 = 269.37 : x
  2. Step 2: Convert to fraction form
    465.89/642.74 = 269.37/x
  3. Step 3: Cross multiply
    465.89x = 642.74 × 269.37
  4. Step 4: Simplify right side
    465.89x = 173,133.53
  5. Step 5: Solve for x
    x = 173,133.53/465.89
  6. Step 6: Final answer
    x = 371.62

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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.