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Finding the Fourth Proportional to 332.52, 458.62 and 199.75

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Solution

The fourth proportional to 332.52, 458.62 and 199.75 is: 275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.52 : 458.62 = 199.75 : x
  2. Step 2: Convert to fraction form
    332.52/458.62 = 199.75/x
  3. Step 3: Cross multiply
    332.52x = 458.62 × 199.75
  4. Step 4: Simplify right side
    332.52x = 91,609.35
  5. Step 5: Solve for x
    x = 91,609.35/332.52
  6. Step 6: Final answer
    x = 275.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.