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Finding the Fourth Proportional to 304.01, 416.97 and 289.83

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Solution

The fourth proportional to 304.01, 416.97 and 289.83 is: 397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.01 : 416.97 = 289.83 : x
  2. Step 2: Convert to fraction form
    304.01/416.97 = 289.83/x
  3. Step 3: Cross multiply
    304.01x = 416.97 × 289.83
  4. Step 4: Simplify right side
    304.01x = 120,850.42
  5. Step 5: Solve for x
    x = 120,850.42/304.01
  6. Step 6: Final answer
    x = 397.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.