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Finding the Fourth Proportional to 176.25, 262.97 and 172.14

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Solution

The fourth proportional to 176.25, 262.97 and 172.14 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.25 : 262.97 = 172.14 : x
  2. Step 2: Convert to fraction form
    176.25/262.97 = 172.14/x
  3. Step 3: Cross multiply
    176.25x = 262.97 × 172.14
  4. Step 4: Simplify right side
    176.25x = 45,267.66
  5. Step 5: Solve for x
    x = 45,267.66/176.25
  6. Step 6: Final answer
    x = 256.84

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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.