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Finding the Fourth Proportional to 343.32, 512.13 and 322.37

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Solution

The fourth proportional to 343.32, 512.13 and 322.37 is: 480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.32 : 512.13 = 322.37 : x
  2. Step 2: Convert to fraction form
    343.32/512.13 = 322.37/x
  3. Step 3: Cross multiply
    343.32x = 512.13 × 322.37
  4. Step 4: Simplify right side
    343.32x = 165,092.79
  5. Step 5: Solve for x
    x = 165,092.79/343.32
  6. Step 6: Final answer
    x = 480.87

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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.