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Finding the Fourth Proportional to 179.21, 269.73 and 156.94

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Solution

The fourth proportional to 179.21, 269.73 and 156.94 is: 236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.21 : 269.73 = 156.94 : x
  2. Step 2: Convert to fraction form
    179.21/269.73 = 156.94/x
  3. Step 3: Cross multiply
    179.21x = 269.73 × 156.94
  4. Step 4: Simplify right side
    179.21x = 42,330.75
  5. Step 5: Solve for x
    x = 42,330.75/179.21
  6. Step 6: Final answer
    x = 236.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.