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Finding the Fourth Proportional to 255.19, 382.81 and 72.58

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Solution

The fourth proportional to 255.19, 382.81 and 72.58 is: 108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.19 : 382.81 = 72.58 : x
  2. Step 2: Convert to fraction form
    255.19/382.81 = 72.58/x
  3. Step 3: Cross multiply
    255.19x = 382.81 × 72.58
  4. Step 4: Simplify right side
    255.19x = 27,784.35
  5. Step 5: Solve for x
    x = 27,784.35/255.19
  6. Step 6: Final answer
    x = 108.88

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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.