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Finding the Fourth Proportional to 176.22, 262.44 and 172.80

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Solution

The fourth proportional to 176.22, 262.44 and 172.80 is: 257.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 262.44 = 172.80 : x
  2. Step 2: Convert to fraction form
    176.22/262.44 = 172.80/x
  3. Step 3: Cross multiply
    176.22x = 262.44 × 172.80
  4. Step 4: Simplify right side
    176.22x = 45,349.63
  5. Step 5: Solve for x
    x = 45,349.63/176.22
  6. Step 6: Final answer
    x = 257.35

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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.