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Finding the Fourth Proportional to 302.09, 415.49 and 275.96

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Solution

The fourth proportional to 302.09, 415.49 and 275.96 is: 379.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.09 : 415.49 = 275.96 : x
  2. Step 2: Convert to fraction form
    302.09/415.49 = 275.96/x
  3. Step 3: Cross multiply
    302.09x = 415.49 × 275.96
  4. Step 4: Simplify right side
    302.09x = 114,658.28
  5. Step 5: Solve for x
    x = 114,658.28/302.09
  6. Step 6: Final answer
    x = 379.56

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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.