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Finding the Fourth Proportional to 343.28, 512.02 and 336.80

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Solution

The fourth proportional to 343.28, 512.02 and 336.80 is: 502.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.28 : 512.02 = 336.80 : x
  2. Step 2: Convert to fraction form
    343.28/512.02 = 336.80/x
  3. Step 3: Cross multiply
    343.28x = 512.02 × 336.80
  4. Step 4: Simplify right side
    343.28x = 172,448.34
  5. Step 5: Solve for x
    x = 172,448.34/343.28
  6. Step 6: Final answer
    x = 502.35

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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.