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Finding the Fourth Proportional to 428.14, 590.83 and 231.65

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Solution

The fourth proportional to 428.14, 590.83 and 231.65 is: 319.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.14 : 590.83 = 231.65 : x
  2. Step 2: Convert to fraction form
    428.14/590.83 = 231.65/x
  3. Step 3: Cross multiply
    428.14x = 590.83 × 231.65
  4. Step 4: Simplify right side
    428.14x = 136,864.89
  5. Step 5: Solve for x
    x = 136,864.89/428.14
  6. Step 6: Final answer
    x = 319.68

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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.