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Finding the Fourth Proportional to 315.71, 435.81 and 209.42

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Solution

The fourth proportional to 315.71, 435.81 and 209.42 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.71 : 435.81 = 209.42 : x
  2. Step 2: Convert to fraction form
    315.71/435.81 = 209.42/x
  3. Step 3: Cross multiply
    315.71x = 435.81 × 209.42
  4. Step 4: Simplify right side
    315.71x = 91,266.28
  5. Step 5: Solve for x
    x = 91,266.28/315.71
  6. Step 6: Final answer
    x = 289.09

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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.