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Finding the Fourth Proportional to 411.36, 616.96 and 257.28

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Solution

The fourth proportional to 411.36, 616.96 and 257.28 is: 385.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.36 : 616.96 = 257.28 : x
  2. Step 2: Convert to fraction form
    411.36/616.96 = 257.28/x
  3. Step 3: Cross multiply
    411.36x = 616.96 × 257.28
  4. Step 4: Simplify right side
    411.36x = 158,731.47
  5. Step 5: Solve for x
    x = 158,731.47/411.36
  6. Step 6: Final answer
    x = 385.87

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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.