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Finding the Fourth Proportional to 332.00, 457.73 and 249.38

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Solution

The fourth proportional to 332.00, 457.73 and 249.38 is: 343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.00 : 457.73 = 249.38 : x
  2. Step 2: Convert to fraction form
    332.00/457.73 = 249.38/x
  3. Step 3: Cross multiply
    332.00x = 457.73 × 249.38
  4. Step 4: Simplify right side
    332.00x = 114,146.42
  5. Step 5: Solve for x
    x = 114,146.42/332.00
  6. Step 6: Final answer
    x = 343.82

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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.