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Finding the Fourth Proportional to 301.79, 450.24 and 255.62

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Solution

The fourth proportional to 301.79, 450.24 and 255.62 is: 381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.79 : 450.24 = 255.62 : x
  2. Step 2: Convert to fraction form
    301.79/450.24 = 255.62/x
  3. Step 3: Cross multiply
    301.79x = 450.24 × 255.62
  4. Step 4: Simplify right side
    301.79x = 115,091.95
  5. Step 5: Solve for x
    x = 115,091.95/301.79
  6. Step 6: Final answer
    x = 381.36

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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.