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Finding the Fourth Proportional to 381.39, 570.84 and 289.59

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Solution

The fourth proportional to 381.39, 570.84 and 289.59 is: 433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.39 : 570.84 = 289.59 : x
  2. Step 2: Convert to fraction form
    381.39/570.84 = 289.59/x
  3. Step 3: Cross multiply
    381.39x = 570.84 × 289.59
  4. Step 4: Simplify right side
    381.39x = 165,307.14
  5. Step 5: Solve for x
    x = 165,307.14/381.39
  6. Step 6: Final answer
    x = 433.43

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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.