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Finding the Fourth Proportional to 315.99, 435.81 and 205.38

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Solution

The fourth proportional to 315.99, 435.81 and 205.38 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.99 : 435.81 = 205.38 : x
  2. Step 2: Convert to fraction form
    315.99/435.81 = 205.38/x
  3. Step 3: Cross multiply
    315.99x = 435.81 × 205.38
  4. Step 4: Simplify right side
    315.99x = 89,506.66
  5. Step 5: Solve for x
    x = 89,506.66/315.99
  6. Step 6: Final answer
    x = 283.26

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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.