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Finding the Fourth Proportional to 176.06, 262.22 and 172.82

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Solution

The fourth proportional to 176.06, 262.22 and 172.82 is: 257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 262.22 = 172.82 : x
  2. Step 2: Convert to fraction form
    176.06/262.22 = 172.82/x
  3. Step 3: Cross multiply
    176.06x = 262.22 × 172.82
  4. Step 4: Simplify right side
    176.06x = 45,316.86
  5. Step 5: Solve for x
    x = 45,316.86/176.06
  6. Step 6: Final answer
    x = 257.39

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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.