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Finding the Fourth Proportional to 332.26, 495.42 and 328.20

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Solution

The fourth proportional to 332.26, 495.42 and 328.20 is: 489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.26 : 495.42 = 328.20 : x
  2. Step 2: Convert to fraction form
    332.26/495.42 = 328.20/x
  3. Step 3: Cross multiply
    332.26x = 495.42 × 328.20
  4. Step 4: Simplify right side
    332.26x = 162,596.84
  5. Step 5: Solve for x
    x = 162,596.84/332.26
  6. Step 6: Final answer
    x = 489.37

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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.