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Finding the Fourth Proportional to 179.86, 268.22 and 172.12

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Solution

The fourth proportional to 179.86, 268.22 and 172.12 is: 256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.86 : 268.22 = 172.12 : x
  2. Step 2: Convert to fraction form
    179.86/268.22 = 172.12/x
  3. Step 3: Cross multiply
    179.86x = 268.22 × 172.12
  4. Step 4: Simplify right side
    179.86x = 46,166.03
  5. Step 5: Solve for x
    x = 46,166.03/179.86
  6. Step 6: Final answer
    x = 256.68

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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.