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Finding the Fourth Proportional to 289.37, 431.97 and 268.86

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Solution

The fourth proportional to 289.37, 431.97 and 268.86 is: 401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.37 : 431.97 = 268.86 : x
  2. Step 2: Convert to fraction form
    289.37/431.97 = 268.86/x
  3. Step 3: Cross multiply
    289.37x = 431.97 × 268.86
  4. Step 4: Simplify right side
    289.37x = 116,138.11
  5. Step 5: Solve for x
    x = 116,138.11/289.37
  6. Step 6: Final answer
    x = 401.36

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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.