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Finding the Fourth Proportional to 434.33, 649.86 and 266.96

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Solution

The fourth proportional to 434.33, 649.86 and 266.96 is: 399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.33 : 649.86 = 266.96 : x
  2. Step 2: Convert to fraction form
    434.33/649.86 = 266.96/x
  3. Step 3: Cross multiply
    434.33x = 649.86 × 266.96
  4. Step 4: Simplify right side
    434.33x = 173,487.25
  5. Step 5: Solve for x
    x = 173,487.25/434.33
  6. Step 6: Final answer
    x = 399.43

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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.