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Finding the Fourth Proportional to 411.33, 617.58 and 256.82

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Solution

The fourth proportional to 411.33, 617.58 and 256.82 is: 385.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.33 : 617.58 = 256.82 : x
  2. Step 2: Convert to fraction form
    411.33/617.58 = 256.82/x
  3. Step 3: Cross multiply
    411.33x = 617.58 × 256.82
  4. Step 4: Simplify right side
    411.33x = 158,603.81
  5. Step 5: Solve for x
    x = 158,603.81/411.33
  6. Step 6: Final answer
    x = 385.59

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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.