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Finding the Fourth Proportional to 315.20, 435.11 and 208.92

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Solution

The fourth proportional to 315.20, 435.11 and 208.92 is: 288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.20 : 435.11 = 208.92 : x
  2. Step 2: Convert to fraction form
    315.20/435.11 = 208.92/x
  3. Step 3: Cross multiply
    315.20x = 435.11 × 208.92
  4. Step 4: Simplify right side
    315.20x = 90,903.70
  5. Step 5: Solve for x
    x = 90,903.70/315.20
  6. Step 6: Final answer
    x = 288.40

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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.