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Finding the Fourth Proportional to 257.28, 386.24 and 219.04

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Solution

The fourth proportional to 257.28, 386.24 and 219.04 is: 328.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.28 : 386.24 = 219.04 : x
  2. Step 2: Convert to fraction form
    257.28/386.24 = 219.04/x
  3. Step 3: Cross multiply
    257.28x = 386.24 × 219.04
  4. Step 4: Simplify right side
    257.28x = 84,602.01
  5. Step 5: Solve for x
    x = 84,602.01/257.28
  6. Step 6: Final answer
    x = 328.83

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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.