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Finding the Fourth Proportional to 288.05, 431.77 and 206.85

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Solution

The fourth proportional to 288.05, 431.77 and 206.85 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.05 : 431.77 = 206.85 : x
  2. Step 2: Convert to fraction form
    288.05/431.77 = 206.85/x
  3. Step 3: Cross multiply
    288.05x = 431.77 × 206.85
  4. Step 4: Simplify right side
    288.05x = 89,311.62
  5. Step 5: Solve for x
    x = 89,311.62/288.05
  6. Step 6: Final answer
    x = 310.06

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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.