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Finding the Fourth Proportional to 179.05, 266.64 and 172.97

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Solution

The fourth proportional to 179.05, 266.64 and 172.97 is: 257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.05 : 266.64 = 172.97 : x
  2. Step 2: Convert to fraction form
    179.05/266.64 = 172.97/x
  3. Step 3: Cross multiply
    179.05x = 266.64 × 172.97
  4. Step 4: Simplify right side
    179.05x = 46,120.72
  5. Step 5: Solve for x
    x = 46,120.72/179.05
  6. Step 6: Final answer
    x = 257.59

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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.