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Finding the Fourth Proportional to 301.20, 449.78 and 260.72

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Solution

The fourth proportional to 301.20, 449.78 and 260.72 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.20 : 449.78 = 260.72 : x
  2. Step 2: Convert to fraction form
    301.20/449.78 = 260.72/x
  3. Step 3: Cross multiply
    301.20x = 449.78 × 260.72
  4. Step 4: Simplify right side
    301.20x = 117,266.64
  5. Step 5: Solve for x
    x = 117,266.64/301.20
  6. Step 6: Final answer
    x = 389.33

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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.