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Finding the Fourth Proportional to 427.64, 590.17 and 250.61

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Solution

The fourth proportional to 427.64, 590.17 and 250.61 is: 345.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.64 : 590.17 = 250.61 : x
  2. Step 2: Convert to fraction form
    427.64/590.17 = 250.61/x
  3. Step 3: Cross multiply
    427.64x = 590.17 × 250.61
  4. Step 4: Simplify right side
    427.64x = 147,902.50
  5. Step 5: Solve for x
    x = 147,902.50/427.64
  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.