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Finding the Fourth Proportional to 332.43, 458.84 and 208.02

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Solution

The fourth proportional to 332.43, 458.84 and 208.02 is: 287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.43 : 458.84 = 208.02 : x
  2. Step 2: Convert to fraction form
    332.43/458.84 = 208.02/x
  3. Step 3: Cross multiply
    332.43x = 458.84 × 208.02
  4. Step 4: Simplify right side
    332.43x = 95,447.90
  5. Step 5: Solve for x
    x = 95,447.90/332.43
  6. Step 6: Final answer
    x = 287.12

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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.