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Finding the Fourth Proportional to 254.92, 382.38 and 202.84

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Solution

The fourth proportional to 254.92, 382.38 and 202.84 is: 304.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.92 : 382.38 = 202.84 : x
  2. Step 2: Convert to fraction form
    254.92/382.38 = 202.84/x
  3. Step 3: Cross multiply
    254.92x = 382.38 × 202.84
  4. Step 4: Simplify right side
    254.92x = 77,561.96
  5. Step 5: Solve for x
    x = 77,561.96/254.92
  6. Step 6: Final answer
    x = 304.26

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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.