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Finding the Fourth Proportional to 315.82, 435.98 and 209.54

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Solution

The fourth proportional to 315.82, 435.98 and 209.54 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.82 : 435.98 = 209.54 : x
  2. Step 2: Convert to fraction form
    315.82/435.98 = 209.54/x
  3. Step 3: Cross multiply
    315.82x = 435.98 × 209.54
  4. Step 4: Simplify right side
    315.82x = 91,355.25
  5. Step 5: Solve for x
    x = 91,355.25/315.82
  6. Step 6: Final answer
    x = 289.26

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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.