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Finding the Fourth Proportional to 427.87, 590.31 and 250.68

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Solution

The fourth proportional to 427.87, 590.31 and 250.68 is: 345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.87 : 590.31 = 250.68 : x
  2. Step 2: Convert to fraction form
    427.87/590.31 = 250.68/x
  3. Step 3: Cross multiply
    427.87x = 590.31 × 250.68
  4. Step 4: Simplify right side
    427.87x = 147,978.91
  5. Step 5: Solve for x
    x = 147,978.91/427.87
  6. Step 6: Final answer
    x = 345.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.