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Finding the Fourth Proportional to 255.36, 382.14 and 219.24

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Solution

The fourth proportional to 255.36, 382.14 and 219.24 is: 328.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.36 : 382.14 = 219.24 : x
  2. Step 2: Convert to fraction form
    255.36/382.14 = 219.24/x
  3. Step 3: Cross multiply
    255.36x = 382.14 × 219.24
  4. Step 4: Simplify right side
    255.36x = 83,780.37
  5. Step 5: Solve for x
    x = 83,780.37/255.36
  6. Step 6: Final answer
    x = 328.09

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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.