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Finding the Fourth Proportional to 369.20, 509.41 and 310.41

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Solution

The fourth proportional to 369.20, 509.41 and 310.41 is: 428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.20 : 509.41 = 310.41 : x
  2. Step 2: Convert to fraction form
    369.20/509.41 = 310.41/x
  3. Step 3: Cross multiply
    369.20x = 509.41 × 310.41
  4. Step 4: Simplify right side
    369.20x = 158,125.96
  5. Step 5: Solve for x
    x = 158,125.96/369.20
  6. Step 6: Final answer
    x = 428.29

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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.