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Finding the Fourth Proportional to 343.60, 512.02 and 328.41

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Solution

The fourth proportional to 343.60, 512.02 and 328.41 is: 489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.60 : 512.02 = 328.41 : x
  2. Step 2: Convert to fraction form
    343.60/512.02 = 328.41/x
  3. Step 3: Cross multiply
    343.60x = 512.02 × 328.41
  4. Step 4: Simplify right side
    343.60x = 168,152.49
  5. Step 5: Solve for x
    x = 168,152.49/343.60
  6. Step 6: Final answer
    x = 489.38

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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.