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Finding the Fourth Proportional to 428.90, 592.01 and 271.55

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Solution

The fourth proportional to 428.90, 592.01 and 271.55 is: 374.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 592.01 = 271.55 : x
  2. Step 2: Convert to fraction form
    428.90/592.01 = 271.55/x
  3. Step 3: Cross multiply
    428.90x = 592.01 × 271.55
  4. Step 4: Simplify right side
    428.90x = 160,761.46
  5. Step 5: Solve for x
    x = 160,761.46/428.90
  6. Step 6: Final answer
    x = 374.83

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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.