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Finding the Fourth Proportional to 428.26, 590.62 and 311.62

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Solution

The fourth proportional to 428.26, 590.62 and 311.62 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.26 : 590.62 = 311.62 : x
  2. Step 2: Convert to fraction form
    428.26/590.62 = 311.62/x
  3. Step 3: Cross multiply
    428.26x = 590.62 × 311.62
  4. Step 4: Simplify right side
    428.26x = 184,049.00
  5. Step 5: Solve for x
    x = 184,049.00/428.26
  6. Step 6: Final answer
    x = 429.76

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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.