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Finding the Fourth Proportional to 304.07, 453.09 and 289.38

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Solution

The fourth proportional to 304.07, 453.09 and 289.38 is: 431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.07 : 453.09 = 289.38 : x
  2. Step 2: Convert to fraction form
    304.07/453.09 = 289.38/x
  3. Step 3: Cross multiply
    304.07x = 453.09 × 289.38
  4. Step 4: Simplify right side
    304.07x = 131,115.18
  5. Step 5: Solve for x
    x = 131,115.18/304.07
  6. Step 6: Final answer
    x = 431.21

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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.