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Finding the Fourth Proportional to 428.17, 590.87 and 231.68

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Solution

The fourth proportional to 428.17, 590.87 and 231.68 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.17 : 590.87 = 231.68 : x
  2. Step 2: Convert to fraction form
    428.17/590.87 = 231.68/x
  3. Step 3: Cross multiply
    428.17x = 590.87 × 231.68
  4. Step 4: Simplify right side
    428.17x = 136,891.73
  5. Step 5: Solve for x
    x = 136,891.73/428.17
  6. Step 6: Final answer
    x = 319.72

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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.