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Finding the Fourth Proportional to 254.52, 380.88 and 181.24

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Solution

The fourth proportional to 254.52, 380.88 and 181.24 is: 271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.52 : 380.88 = 181.24 : x
  2. Step 2: Convert to fraction form
    254.52/380.88 = 181.24/x
  3. Step 3: Cross multiply
    254.52x = 380.88 × 181.24
  4. Step 4: Simplify right side
    254.52x = 69,030.69
  5. Step 5: Solve for x
    x = 69,030.69/254.52
  6. Step 6: Final answer
    x = 271.22

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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.