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Finding the Fourth Proportional to 428.12, 590.94 and 270.80

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Solution

The fourth proportional to 428.12, 590.94 and 270.80 is: 373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.12 : 590.94 = 270.80 : x
  2. Step 2: Convert to fraction form
    428.12/590.94 = 270.80/x
  3. Step 3: Cross multiply
    428.12x = 590.94 × 270.80
  4. Step 4: Simplify right side
    428.12x = 160,026.55
  5. Step 5: Solve for x
    x = 160,026.55/428.12
  6. Step 6: Final answer
    x = 373.79

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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.