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Finding the Fourth Proportional to 301.64, 449.28 and 274.10

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Solution

The fourth proportional to 301.64, 449.28 and 274.10 is: 408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.64 : 449.28 = 274.10 : x
  2. Step 2: Convert to fraction form
    301.64/449.28 = 274.10/x
  3. Step 3: Cross multiply
    301.64x = 449.28 × 274.10
  4. Step 4: Simplify right side
    301.64x = 123,145.40
  5. Step 5: Solve for x
    x = 123,145.40/301.64
  6. Step 6: Final answer
    x = 408.26

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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.