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Finding the Fourth Proportional to 428.31, 642.06 and 184.59

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Solution

The fourth proportional to 428.31, 642.06 and 184.59 is: 276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.31 : 642.06 = 184.59 : x
  2. Step 2: Convert to fraction form
    428.31/642.06 = 184.59/x
  3. Step 3: Cross multiply
    428.31x = 642.06 × 184.59
  4. Step 4: Simplify right side
    428.31x = 118,517.86
  5. Step 5: Solve for x
    x = 118,517.86/428.31
  6. Step 6: Final answer
    x = 276.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.