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Finding the Fourth Proportional to 332.09, 495.23 and 282.78

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Solution

The fourth proportional to 332.09, 495.23 and 282.78 is: 421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.09 : 495.23 = 282.78 : x
  2. Step 2: Convert to fraction form
    332.09/495.23 = 282.78/x
  3. Step 3: Cross multiply
    332.09x = 495.23 × 282.78
  4. Step 4: Simplify right side
    332.09x = 140,039.73
  5. Step 5: Solve for x
    x = 140,039.73/332.09
  6. Step 6: Final answer
    x = 421.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.