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Finding the Fourth Proportional to 343.22, 511.85 and 336.35

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Solution

The fourth proportional to 343.22, 511.85 and 336.35 is: 501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.22 : 511.85 = 336.35 : x
  2. Step 2: Convert to fraction form
    343.22/511.85 = 336.35/x
  3. Step 3: Cross multiply
    343.22x = 511.85 × 336.35
  4. Step 4: Simplify right side
    343.22x = 172,162.87
  5. Step 5: Solve for x
    x = 172,162.87/343.22
  6. Step 6: Final answer
    x = 501.62

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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.