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Finding the Fourth Proportional to 177.12, 243.84 and 164.88

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Solution

The fourth proportional to 177.12, 243.84 and 164.88 is: 226.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 243.84 = 164.88 : x
  2. Step 2: Convert to fraction form
    177.12/243.84 = 164.88/x
  3. Step 3: Cross multiply
    177.12x = 243.84 × 164.88
  4. Step 4: Simplify right side
    177.12x = 40,204.34
  5. Step 5: Solve for x
    x = 40,204.34/177.12
  6. Step 6: Final answer
    x = 226.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.