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Finding the Fourth Proportional to 313.11, 431.40 and 209.43

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Solution

The fourth proportional to 313.11, 431.40 and 209.43 is: 288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.11 : 431.40 = 209.43 : x
  2. Step 2: Convert to fraction form
    313.11/431.40 = 209.43/x
  3. Step 3: Cross multiply
    313.11x = 431.40 × 209.43
  4. Step 4: Simplify right side
    313.11x = 90,348.10
  5. Step 5: Solve for x
    x = 90,348.10/313.11
  6. Step 6: Final answer
    x = 288.55

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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.