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Finding the Fourth Proportional to 381.28, 570.86 and 288.44

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Solution

The fourth proportional to 381.28, 570.86 and 288.44 is: 431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.28 : 570.86 = 288.44 : x
  2. Step 2: Convert to fraction form
    381.28/570.86 = 288.44/x
  3. Step 3: Cross multiply
    381.28x = 570.86 × 288.44
  4. Step 4: Simplify right side
    381.28x = 164,657.42
  5. Step 5: Solve for x
    x = 164,657.42/381.28
  6. Step 6: Final answer
    x = 431.86

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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.