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Finding the Fourth Proportional to 177.12, 263.80 and 176.20

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Solution

The fourth proportional to 177.12, 263.80 and 176.20 is: 262.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 263.80 = 176.20 : x
  2. Step 2: Convert to fraction form
    177.12/263.80 = 176.20/x
  3. Step 3: Cross multiply
    177.12x = 263.80 × 176.20
  4. Step 4: Simplify right side
    177.12x = 46,481.56
  5. Step 5: Solve for x
    x = 46,481.56/177.12
  6. Step 6: Final answer
    x = 262.43

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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.