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Finding the Fourth Proportional to 254.70, 382.38 and 133.05

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Solution

The fourth proportional to 254.70, 382.38 and 133.05 is: 199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.70 : 382.38 = 133.05 : x
  2. Step 2: Convert to fraction form
    254.70/382.38 = 133.05/x
  3. Step 3: Cross multiply
    254.70x = 382.38 × 133.05
  4. Step 4: Simplify right side
    254.70x = 50,875.66
  5. Step 5: Solve for x
    x = 50,875.66/254.70
  6. Step 6: Final answer
    x = 199.75

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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.