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Finding the Fourth Proportional to 428.36, 590.46 and 324.68

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Solution

The fourth proportional to 428.36, 590.46 and 324.68 is: 447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 590.46 = 324.68 : x
  2. Step 2: Convert to fraction form
    428.36/590.46 = 324.68/x
  3. Step 3: Cross multiply
    428.36x = 590.46 × 324.68
  4. Step 4: Simplify right side
    428.36x = 191,710.55
  5. Step 5: Solve for x
    x = 191,710.55/428.36
  6. Step 6: Final answer
    x = 447.55

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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.