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Finding the Fourth Proportional to 289.60, 431.96 and 269.44

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Solution

The fourth proportional to 289.60, 431.96 and 269.44 is: 401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.60 : 431.96 = 269.44 : x
  2. Step 2: Convert to fraction form
    289.60/431.96 = 269.44/x
  3. Step 3: Cross multiply
    289.60x = 431.96 × 269.44
  4. Step 4: Simplify right side
    289.60x = 116,387.30
  5. Step 5: Solve for x
    x = 116,387.30/289.60
  6. Step 6: Final answer
    x = 401.89

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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.