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Finding the Fourth Proportional to 434.85, 600.38 and 269.30

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Solution

The fourth proportional to 434.85, 600.38 and 269.30 is: 371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.85 : 600.38 = 269.30 : x
  2. Step 2: Convert to fraction form
    434.85/600.38 = 269.30/x
  3. Step 3: Cross multiply
    434.85x = 600.38 × 269.30
  4. Step 4: Simplify right side
    434.85x = 161,677.99
  5. Step 5: Solve for x
    x = 161,677.99/434.85
  6. Step 6: Final answer
    x = 371.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.