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Finding the Fourth Proportional to 301.63, 450.26 and 279.08

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Solution

The fourth proportional to 301.63, 450.26 and 279.08 is: 416.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.63 : 450.26 = 279.08 : x
  2. Step 2: Convert to fraction form
    301.63/450.26 = 279.08/x
  3. Step 3: Cross multiply
    301.63x = 450.26 × 279.08
  4. Step 4: Simplify right side
    301.63x = 125,658.29
  5. Step 5: Solve for x
    x = 125,658.29/301.63
  6. Step 6: Final answer
    x = 416.60

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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.