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Finding the Fourth Proportional to 302.89, 451.78 and 254.44

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Solution

The fourth proportional to 302.89, 451.78 and 254.44 is: 379.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.89 : 451.78 = 254.44 : x
  2. Step 2: Convert to fraction form
    302.89/451.78 = 254.44/x
  3. Step 3: Cross multiply
    302.89x = 451.78 × 254.44
  4. Step 4: Simplify right side
    302.89x = 114,950.83
  5. Step 5: Solve for x
    x = 114,950.83/302.89
  6. Step 6: Final answer
    x = 379.51

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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.