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Finding the Fourth Proportional to 353.74, 529.92 and 231.63

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Solution

The fourth proportional to 353.74, 529.92 and 231.63 is: 346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.74 : 529.92 = 231.63 : x
  2. Step 2: Convert to fraction form
    353.74/529.92 = 231.63/x
  3. Step 3: Cross multiply
    353.74x = 529.92 × 231.63
  4. Step 4: Simplify right side
    353.74x = 122,743.55
  5. Step 5: Solve for x
    x = 122,743.55/353.74
  6. Step 6: Final answer
    x = 346.99

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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.