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Finding the Fourth Proportional to 254.92, 382.08 and 152.02

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Solution

The fourth proportional to 254.92, 382.08 and 152.02 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.92 : 382.08 = 152.02 : x
  2. Step 2: Convert to fraction form
    254.92/382.08 = 152.02/x
  3. Step 3: Cross multiply
    254.92x = 382.08 × 152.02
  4. Step 4: Simplify right side
    254.92x = 58,083.80
  5. Step 5: Solve for x
    x = 58,083.80/254.92
  6. Step 6: Final answer
    x = 227.85

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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.