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Finding the Fourth Proportional to 428.30, 590.75 and 270.96

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Solution

The fourth proportional to 428.30, 590.75 and 270.96 is: 373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.30 : 590.75 = 270.96 : x
  2. Step 2: Convert to fraction form
    428.30/590.75 = 270.96/x
  3. Step 3: Cross multiply
    428.30x = 590.75 × 270.96
  4. Step 4: Simplify right side
    428.30x = 160,069.63
  5. Step 5: Solve for x
    x = 160,069.63/428.30
  6. Step 6: Final answer
    x = 373.73

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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.