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Finding the Fourth Proportional to 428.85, 591.89 and 281.24

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Solution

The fourth proportional to 428.85, 591.89 and 281.24 is: 388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.85 : 591.89 = 281.24 : x
  2. Step 2: Convert to fraction form
    428.85/591.89 = 281.24/x
  3. Step 3: Cross multiply
    428.85x = 591.89 × 281.24
  4. Step 4: Simplify right side
    428.85x = 166,458.78
  5. Step 5: Solve for x
    x = 166,458.78/428.85
  6. Step 6: Final answer
    x = 388.15

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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.