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Finding the Fourth Proportional to 254.72, 380.12 and 218.14

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Solution

The fourth proportional to 254.72, 380.12 and 218.14 is: 325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.72 : 380.12 = 218.14 : x
  2. Step 2: Convert to fraction form
    254.72/380.12 = 218.14/x
  3. Step 3: Cross multiply
    254.72x = 380.12 × 218.14
  4. Step 4: Simplify right side
    254.72x = 82,917.34
  5. Step 5: Solve for x
    x = 82,917.34/254.72
  6. Step 6: Final answer
    x = 325.52

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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.