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Finding the Fourth Proportional to 428.90, 591.71 and 271.49

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Solution

The fourth proportional to 428.90, 591.71 and 271.49 is: 374.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 591.71 = 271.49 : x
  2. Step 2: Convert to fraction form
    428.90/591.71 = 271.49/x
  3. Step 3: Cross multiply
    428.90x = 591.71 × 271.49
  4. Step 4: Simplify right side
    428.90x = 160,639.03
  5. Step 5: Solve for x
    x = 160,639.03/428.90
  6. Step 6: Final answer
    x = 374.54

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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.