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Finding the Fourth Proportional to 355.34, 531.90 and 230.09

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Solution

The fourth proportional to 355.34, 531.90 and 230.09 is: 344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.34 : 531.90 = 230.09 : x
  2. Step 2: Convert to fraction form
    355.34/531.90 = 230.09/x
  3. Step 3: Cross multiply
    355.34x = 531.90 × 230.09
  4. Step 4: Simplify right side
    355.34x = 122,386.20
  5. Step 5: Solve for x
    x = 122,386.20/355.34
  6. Step 6: Final answer
    x = 344.42

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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.