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Finding the Fourth Proportional to 411.47, 617.78 and 256.94

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Solution

The fourth proportional to 411.47, 617.78 and 256.94 is: 385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.47 : 617.78 = 256.94 : x
  2. Step 2: Convert to fraction form
    411.47/617.78 = 256.94/x
  3. Step 3: Cross multiply
    411.47x = 617.78 × 256.94
  4. Step 4: Simplify right side
    411.47x = 158,728.02
  5. Step 5: Solve for x
    x = 158,728.02/411.47
  6. Step 6: Final answer
    x = 385.76

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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.