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Finding the Fourth Proportional to 369.20, 509.47 and 203.39

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Solution

The fourth proportional to 369.20, 509.47 and 203.39 is: 280.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.20 : 509.47 = 203.39 : x
  2. Step 2: Convert to fraction form
    369.20/509.47 = 203.39/x
  3. Step 3: Cross multiply
    369.20x = 509.47 × 203.39
  4. Step 4: Simplify right side
    369.20x = 103,619.96
  5. Step 5: Solve for x
    x = 103,619.96/369.20
  6. Step 6: Final answer
    x = 280.66

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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.