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Finding the Fourth Proportional to 397.49, 596.21 and 287.91

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Solution

The fourth proportional to 397.49, 596.21 and 287.91 is: 431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.49 : 596.21 = 287.91 : x
  2. Step 2: Convert to fraction form
    397.49/596.21 = 287.91/x
  3. Step 3: Cross multiply
    397.49x = 596.21 × 287.91
  4. Step 4: Simplify right side
    397.49x = 171,653.38
  5. Step 5: Solve for x
    x = 171,653.38/397.49
  6. Step 6: Final answer
    x = 431.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.