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Finding the Fourth Proportional to 289.96, 400.23 and 177.97

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Solution

The fourth proportional to 289.96, 400.23 and 177.97 is: 245.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.96 : 400.23 = 177.97 : x
  2. Step 2: Convert to fraction form
    289.96/400.23 = 177.97/x
  3. Step 3: Cross multiply
    289.96x = 400.23 × 177.97
  4. Step 4: Simplify right side
    289.96x = 71,228.93
  5. Step 5: Solve for x
    x = 71,228.93/289.96
  6. Step 6: Final answer
    x = 245.65

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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.