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Finding the Fourth Proportional to 255.69, 384.06 and 217.23

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Solution

The fourth proportional to 255.69, 384.06 and 217.23 is: 326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.69 : 384.06 = 217.23 : x
  2. Step 2: Convert to fraction form
    255.69/384.06 = 217.23/x
  3. Step 3: Cross multiply
    255.69x = 384.06 × 217.23
  4. Step 4: Simplify right side
    255.69x = 83,429.35
  5. Step 5: Solve for x
    x = 83,429.35/255.69
  6. Step 6: Final answer
    x = 326.29

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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.