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Finding the Fourth Proportional to 428.08, 640.88 and 232.60

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Solution

The fourth proportional to 428.08, 640.88 and 232.60 is: 348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.08 : 640.88 = 232.60 : x
  2. Step 2: Convert to fraction form
    428.08/640.88 = 232.60/x
  3. Step 3: Cross multiply
    428.08x = 640.88 × 232.60
  4. Step 4: Simplify right side
    428.08x = 149,068.69
  5. Step 5: Solve for x
    x = 149,068.69/428.08
  6. Step 6: Final answer
    x = 348.23

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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.