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Finding the Fourth Proportional to 428.05, 590.70 and 231.56

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Solution

The fourth proportional to 428.05, 590.70 and 231.56 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.05 : 590.70 = 231.56 : x
  2. Step 2: Convert to fraction form
    428.05/590.70 = 231.56/x
  3. Step 3: Cross multiply
    428.05x = 590.70 × 231.56
  4. Step 4: Simplify right side
    428.05x = 136,782.62
  5. Step 5: Solve for x
    x = 136,782.62/428.05
  6. Step 6: Final answer
    x = 319.55

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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.