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Finding the Fourth Proportional to 254.56, 380.09 and 176.92

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Solution

The fourth proportional to 254.56, 380.09 and 176.92 is: 264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.56 : 380.09 = 176.92 : x
  2. Step 2: Convert to fraction form
    254.56/380.09 = 176.92/x
  3. Step 3: Cross multiply
    254.56x = 380.09 × 176.92
  4. Step 4: Simplify right side
    254.56x = 67,245.52
  5. Step 5: Solve for x
    x = 67,245.52/254.56
  6. Step 6: Final answer
    x = 264.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.