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Finding the Fourth Proportional to 315.09, 434.79 and 204.39

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Solution

The fourth proportional to 315.09, 434.79 and 204.39 is: 282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.09 : 434.79 = 204.39 : x
  2. Step 2: Convert to fraction form
    315.09/434.79 = 204.39/x
  3. Step 3: Cross multiply
    315.09x = 434.79 × 204.39
  4. Step 4: Simplify right side
    315.09x = 88,866.73
  5. Step 5: Solve for x
    x = 88,866.73/315.09
  6. Step 6: Final answer
    x = 282.04

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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.