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Finding the Fourth Proportional to 385.10, 577.06 and 254.96

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Solution

The fourth proportional to 385.10, 577.06 and 254.96 is: 382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.10 : 577.06 = 254.96 : x
  2. Step 2: Convert to fraction form
    385.10/577.06 = 254.96/x
  3. Step 3: Cross multiply
    385.10x = 577.06 × 254.96
  4. Step 4: Simplify right side
    385.10x = 147,128.02
  5. Step 5: Solve for x
    x = 147,128.02/385.10
  6. Step 6: Final answer
    x = 382.05

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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.