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Finding the Fourth Proportional to 272.08, 405.86 and 255.52

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Solution

The fourth proportional to 272.08, 405.86 and 255.52 is: 381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.08 : 405.86 = 255.52 : x
  2. Step 2: Convert to fraction form
    272.08/405.86 = 255.52/x
  3. Step 3: Cross multiply
    272.08x = 405.86 × 255.52
  4. Step 4: Simplify right side
    272.08x = 103,705.35
  5. Step 5: Solve for x
    x = 103,705.35/272.08
  6. Step 6: Final answer
    x = 381.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.