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Finding the Fourth Proportional to 254.36, 382.35 and 158.78

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Solution

The fourth proportional to 254.36, 382.35 and 158.78 is: 238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.36 : 382.35 = 158.78 : x
  2. Step 2: Convert to fraction form
    254.36/382.35 = 158.78/x
  3. Step 3: Cross multiply
    254.36x = 382.35 × 158.78
  4. Step 4: Simplify right side
    254.36x = 60,709.53
  5. Step 5: Solve for x
    x = 60,709.53/254.36
  6. Step 6: Final answer
    x = 238.68

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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.