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Finding the Fourth Proportional to 301.72, 449.89 and 278.08

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Solution

The fourth proportional to 301.72, 449.89 and 278.08 is: 414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.72 : 449.89 = 278.08 : x
  2. Step 2: Convert to fraction form
    301.72/449.89 = 278.08/x
  3. Step 3: Cross multiply
    301.72x = 449.89 × 278.08
  4. Step 4: Simplify right side
    301.72x = 125,105.41
  5. Step 5: Solve for x
    x = 125,105.41/301.72
  6. Step 6: Final answer
    x = 414.64

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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.