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Finding the Fourth Proportional to 428.74, 591.13 and 281.11

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Solution

The fourth proportional to 428.74, 591.13 and 281.11 is: 387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.74 : 591.13 = 281.11 : x
  2. Step 2: Convert to fraction form
    428.74/591.13 = 281.11/x
  3. Step 3: Cross multiply
    428.74x = 591.13 × 281.11
  4. Step 4: Simplify right side
    428.74x = 166,172.55
  5. Step 5: Solve for x
    x = 166,172.55/428.74
  6. Step 6: Final answer
    x = 387.58

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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.