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Finding the Fourth Proportional to 272.62, 376.25 and 167.77

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Solution

The fourth proportional to 272.62, 376.25 and 167.77 is: 231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.62 : 376.25 = 167.77 : x
  2. Step 2: Convert to fraction form
    272.62/376.25 = 167.77/x
  3. Step 3: Cross multiply
    272.62x = 376.25 × 167.77
  4. Step 4: Simplify right side
    272.62x = 63,123.09
  5. Step 5: Solve for x
    x = 63,123.09/272.62
  6. Step 6: Final answer
    x = 231.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.