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Finding the Fourth Proportional to 332.69, 458.79 and 199.89

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Solution

The fourth proportional to 332.69, 458.79 and 199.89 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.69 : 458.79 = 199.89 : x
  2. Step 2: Convert to fraction form
    332.69/458.79 = 199.89/x
  3. Step 3: Cross multiply
    332.69x = 458.79 × 199.89
  4. Step 4: Simplify right side
    332.69x = 91,707.53
  5. Step 5: Solve for x
    x = 91,707.53/332.69
  6. Step 6: Final answer
    x = 275.65

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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.