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Finding the Fourth Proportional to 343.86, 512.90 and 321.18

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Solution

The fourth proportional to 343.86, 512.90 and 321.18 is: 479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.86 : 512.90 = 321.18 : x
  2. Step 2: Convert to fraction form
    343.86/512.90 = 321.18/x
  3. Step 3: Cross multiply
    343.86x = 512.90 × 321.18
  4. Step 4: Simplify right side
    343.86x = 164,731.62
  5. Step 5: Solve for x
    x = 164,731.62/343.86
  6. Step 6: Final answer
    x = 479.07

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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.