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Finding the Fourth Proportional to 411.68, 616.31 and 257.11

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Solution

The fourth proportional to 411.68, 616.31 and 257.11 is: 384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.68 : 616.31 = 257.11 : x
  2. Step 2: Convert to fraction form
    411.68/616.31 = 257.11/x
  3. Step 3: Cross multiply
    411.68x = 616.31 × 257.11
  4. Step 4: Simplify right side
    411.68x = 158,457.60
  5. Step 5: Solve for x
    x = 158,457.60/411.68
  6. Step 6: Final answer
    x = 384.90

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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.