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Finding the Fourth Proportional to 397.81, 594.41 and 304.75

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Solution

The fourth proportional to 397.81, 594.41 and 304.75 is: 455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.81 : 594.41 = 304.75 : x
  2. Step 2: Convert to fraction form
    397.81/594.41 = 304.75/x
  3. Step 3: Cross multiply
    397.81x = 594.41 × 304.75
  4. Step 4: Simplify right side
    397.81x = 181,146.45
  5. Step 5: Solve for x
    x = 181,146.45/397.81
  6. Step 6: Final answer
    x = 455.36

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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.