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Finding the Fourth Proportional to 428.18, 591.06 and 270.94

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Solution

The fourth proportional to 428.18, 591.06 and 270.94 is: 374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.18 : 591.06 = 270.94 : x
  2. Step 2: Convert to fraction form
    428.18/591.06 = 270.94/x
  3. Step 3: Cross multiply
    428.18x = 591.06 × 270.94
  4. Step 4: Simplify right side
    428.18x = 160,141.80
  5. Step 5: Solve for x
    x = 160,141.80/428.18
  6. Step 6: Final answer
    x = 374.01

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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.