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Finding the Fourth Proportional to 938.99, 1,408.68 and 280.91

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Solution

The fourth proportional to 938.99, 1,408.68 and 280.91 is: 421.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.99 : 1,408.68 = 280.91 : x
  2. Step 2: Convert to fraction form
    938.99/1,408.68 = 280.91/x
  3. Step 3: Cross multiply
    938.99x = 1,408.68 × 280.91
  4. Step 4: Simplify right side
    938.99x = 395,715.29
  5. Step 5: Solve for x
    x = 395,715.29/938.99
  6. Step 6: Final answer
    x = 421.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.