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Finding the Fourth Proportional to 177.96, 243.45 and 176.94

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Solution

The fourth proportional to 177.96, 243.45 and 176.94 is: 242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.96 : 243.45 = 176.94 : x
  2. Step 2: Convert to fraction form
    177.96/243.45 = 176.94/x
  3. Step 3: Cross multiply
    177.96x = 243.45 × 176.94
  4. Step 4: Simplify right side
    177.96x = 43,076.04
  5. Step 5: Solve for x
    x = 43,076.04/177.96
  6. Step 6: Final answer
    x = 242.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.