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Finding the Fourth Proportional to 289.02, 431.09 and 280.37

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Solution

The fourth proportional to 289.02, 431.09 and 280.37 is: 418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 431.09 = 280.37 : x
  2. Step 2: Convert to fraction form
    289.02/431.09 = 280.37/x
  3. Step 3: Cross multiply
    289.02x = 431.09 × 280.37
  4. Step 4: Simplify right side
    289.02x = 120,865.78
  5. Step 5: Solve for x
    x = 120,865.78/289.02
  6. Step 6: Final answer
    x = 418.20

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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.