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Finding the Fourth Proportional to 428.35, 642.10 and 233.18

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Solution

The fourth proportional to 428.35, 642.10 and 233.18 is: 349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.35 : 642.10 = 233.18 : x
  2. Step 2: Convert to fraction form
    428.35/642.10 = 233.18/x
  3. Step 3: Cross multiply
    428.35x = 642.10 × 233.18
  4. Step 4: Simplify right side
    428.35x = 149,724.88
  5. Step 5: Solve for x
    x = 149,724.88/428.35
  6. Step 6: Final answer
    x = 349.54

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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.