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Finding the Fourth Proportional to 254.19, 382.68 and 173.55

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Solution

The fourth proportional to 254.19, 382.68 and 173.55 is: 261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.19 : 382.68 = 173.55 : x
  2. Step 2: Convert to fraction form
    254.19/382.68 = 173.55/x
  3. Step 3: Cross multiply
    254.19x = 382.68 × 173.55
  4. Step 4: Simplify right side
    254.19x = 66,414.11
  5. Step 5: Solve for x
    x = 66,414.11/254.19
  6. Step 6: Final answer
    x = 261.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.