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Finding the Fourth Proportional to 428.69, 591.37 and 281.27

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Solution

The fourth proportional to 428.69, 591.37 and 281.27 is: 388.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.69 : 591.37 = 281.27 : x
  2. Step 2: Convert to fraction form
    428.69/591.37 = 281.27/x
  3. Step 3: Cross multiply
    428.69x = 591.37 × 281.27
  4. Step 4: Simplify right side
    428.69x = 166,335.42
  5. Step 5: Solve for x
    x = 166,335.42/428.69
  6. Step 6: Final answer
    x = 388.01

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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.