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Finding the Fourth Proportional to 385.22, 531.96 and 254.30

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Solution

The fourth proportional to 385.22, 531.96 and 254.30 is: 351.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.22 : 531.96 = 254.30 : x
  2. Step 2: Convert to fraction form
    385.22/531.96 = 254.30/x
  3. Step 3: Cross multiply
    385.22x = 531.96 × 254.30
  4. Step 4: Simplify right side
    385.22x = 135,274.77
  5. Step 5: Solve for x
    x = 135,274.77/385.22
  6. Step 6: Final answer
    x = 351.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.