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Finding the Fourth Proportional to 301.46, 453.70 and 271.64

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Solution

The fourth proportional to 301.46, 453.70 and 271.64 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.46 : 453.70 = 271.64 : x
  2. Step 2: Convert to fraction form
    301.46/453.70 = 271.64/x
  3. Step 3: Cross multiply
    301.46x = 453.70 × 271.64
  4. Step 4: Simplify right side
    301.46x = 123,243.07
  5. Step 5: Solve for x
    x = 123,243.07/301.46
  6. Step 6: Final answer
    x = 408.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.