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Finding the Fourth Proportional to 427.62, 590.19 and 250.59

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Solution

The fourth proportional to 427.62, 590.19 and 250.59 is: 345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.62 : 590.19 = 250.59 : x
  2. Step 2: Convert to fraction form
    427.62/590.19 = 250.59/x
  3. Step 3: Cross multiply
    427.62x = 590.19 × 250.59
  4. Step 4: Simplify right side
    427.62x = 147,895.71
  5. Step 5: Solve for x
    x = 147,895.71/427.62
  6. Step 6: Final answer
    x = 345.86

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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.