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Finding the Fourth Proportional to 581.42, 871.63 and 234.38

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Solution

The fourth proportional to 581.42, 871.63 and 234.38 is: 351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.42 : 871.63 = 234.38 : x
  2. Step 2: Convert to fraction form
    581.42/871.63 = 234.38/x
  3. Step 3: Cross multiply
    581.42x = 871.63 × 234.38
  4. Step 4: Simplify right side
    581.42x = 204,292.64
  5. Step 5: Solve for x
    x = 204,292.64/581.42
  6. Step 6: Final answer
    x = 351.37

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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.