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Finding the Fourth Proportional to 288.20, 397.14 and 205.40

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Solution

The fourth proportional to 288.20, 397.14 and 205.40 is: 283.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.20 : 397.14 = 205.40 : x
  2. Step 2: Convert to fraction form
    288.20/397.14 = 205.40/x
  3. Step 3: Cross multiply
    288.20x = 397.14 × 205.40
  4. Step 4: Simplify right side
    288.20x = 81,572.56
  5. Step 5: Solve for x
    x = 81,572.56/288.20
  6. Step 6: Final answer
    x = 283.04

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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.