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Finding the Fourth Proportional to 275.94, 412.34 and 269.79

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Solution

The fourth proportional to 275.94, 412.34 and 269.79 is: 403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.94 : 412.34 = 269.79 : x
  2. Step 2: Convert to fraction form
    275.94/412.34 = 269.79/x
  3. Step 3: Cross multiply
    275.94x = 412.34 × 269.79
  4. Step 4: Simplify right side
    275.94x = 111,243.86
  5. Step 5: Solve for x
    x = 111,243.86/275.94
  6. Step 6: Final answer
    x = 403.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.