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Finding the Fourth Proportional to 289.45, 431.98 and 265.83

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Solution

The fourth proportional to 289.45, 431.98 and 265.83 is: 396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.45 : 431.98 = 265.83 : x
  2. Step 2: Convert to fraction form
    289.45/431.98 = 265.83/x
  3. Step 3: Cross multiply
    289.45x = 431.98 × 265.83
  4. Step 4: Simplify right side
    289.45x = 114,833.24
  5. Step 5: Solve for x
    x = 114,833.24/289.45
  6. Step 6: Final answer
    x = 396.73

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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.