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Finding the Fourth Proportional to 428.97, 643.53 and 223.71

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Solution

The fourth proportional to 428.97, 643.53 and 223.71 is: 335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.97 : 643.53 = 223.71 : x
  2. Step 2: Convert to fraction form
    428.97/643.53 = 223.71/x
  3. Step 3: Cross multiply
    428.97x = 643.53 × 223.71
  4. Step 4: Simplify right side
    428.97x = 143,960.84
  5. Step 5: Solve for x
    x = 143,960.84/428.97
  6. Step 6: Final answer
    x = 335.60

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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.