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Finding the Fourth Proportional to 467.92, 646.16 and 351.28

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Solution

The fourth proportional to 467.92, 646.16 and 351.28 is: 485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.92 : 646.16 = 351.28 : x
  2. Step 2: Convert to fraction form
    467.92/646.16 = 351.28/x
  3. Step 3: Cross multiply
    467.92x = 646.16 × 351.28
  4. Step 4: Simplify right side
    467.92x = 226,983.08
  5. Step 5: Solve for x
    x = 226,983.08/467.92
  6. Step 6: Final answer
    x = 485.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.