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Finding the Fourth Proportional to 428.11, 591.05 and 281.00

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Solution

The fourth proportional to 428.11, 591.05 and 281.00 is: 387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.11 : 591.05 = 281.00 : x
  2. Step 2: Convert to fraction form
    428.11/591.05 = 281.00/x
  3. Step 3: Cross multiply
    428.11x = 591.05 × 281.00
  4. Step 4: Simplify right side
    428.11x = 166,086.53
  5. Step 5: Solve for x
    x = 166,086.53/428.11
  6. Step 6: Final answer
    x = 387.95

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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.