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Finding the Fourth Proportional to 369, 509.16 and 203.19

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Solution

The fourth proportional to 369, 509.16 and 203.19 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    369 : 509.16 = 203.19 : x
  2. Step 2: Convert to fraction form
    369/509.16 = 203.19/x
  3. Step 3: Cross multiply
    369x = 509.16 × 203.19
  4. Step 4: Simplify right side
    369x = 103,456.22
  5. Step 5: Solve for x
    x = 103,456.22/369
  6. Step 6: Final answer
    x = 280.37

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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.