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Finding the Fourth Proportional to 428.84, 642.54 and 223.12

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Solution

The fourth proportional to 428.84, 642.54 and 223.12 is: 334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.84 : 642.54 = 223.12 : x
  2. Step 2: Convert to fraction form
    428.84/642.54 = 223.12/x
  3. Step 3: Cross multiply
    428.84x = 642.54 × 223.12
  4. Step 4: Simplify right side
    428.84x = 143,363.52
  5. Step 5: Solve for x
    x = 143,363.52/428.84
  6. Step 6: Final answer
    x = 334.31

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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.