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Finding the Fourth Proportional to 461.01, 689.83 and 255.78

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Solution

The fourth proportional to 461.01, 689.83 and 255.78 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.01 : 689.83 = 255.78 : x
  2. Step 2: Convert to fraction form
    461.01/689.83 = 255.78/x
  3. Step 3: Cross multiply
    461.01x = 689.83 × 255.78
  4. Step 4: Simplify right side
    461.01x = 176,444.72
  5. Step 5: Solve for x
    x = 176,444.72/461.01
  6. Step 6: Final answer
    x = 382.74

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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.