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Finding the Fourth Proportional to 288.24, 431.96 and 206.84

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Solution

The fourth proportional to 288.24, 431.96 and 206.84 is: 309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 431.96 = 206.84 : x
  2. Step 2: Convert to fraction form
    288.24/431.96 = 206.84/x
  3. Step 3: Cross multiply
    288.24x = 431.96 × 206.84
  4. Step 4: Simplify right side
    288.24x = 89,343.41
  5. Step 5: Solve for x
    x = 89,343.41/288.24
  6. Step 6: Final answer
    x = 309.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.