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Finding the Fourth Proportional to 255.04, 381.90 and 216.76

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Solution

The fourth proportional to 255.04, 381.90 and 216.76 is: 324.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.04 : 381.90 = 216.76 : x
  2. Step 2: Convert to fraction form
    255.04/381.90 = 216.76/x
  3. Step 3: Cross multiply
    255.04x = 381.90 × 216.76
  4. Step 4: Simplify right side
    255.04x = 82,780.64
  5. Step 5: Solve for x
    x = 82,780.64/255.04
  6. Step 6: Final answer
    x = 324.58

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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.