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Finding the Fourth Proportional to 428.99, 591.43 and 281.57

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Solution

The fourth proportional to 428.99, 591.43 and 281.57 is: 388.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.99 : 591.43 = 281.57 : x
  2. Step 2: Convert to fraction form
    428.99/591.43 = 281.57/x
  3. Step 3: Cross multiply
    428.99x = 591.43 × 281.57
  4. Step 4: Simplify right side
    428.99x = 166,528.95
  5. Step 5: Solve for x
    x = 166,528.95/428.99
  6. Step 6: Final answer
    x = 388.19

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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.