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Finding the Fourth Proportional to 369.95, 511.45 and 323.78

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Solution

The fourth proportional to 369.95, 511.45 and 323.78 is: 447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.95 : 511.45 = 323.78 : x
  2. Step 2: Convert to fraction form
    369.95/511.45 = 323.78/x
  3. Step 3: Cross multiply
    369.95x = 511.45 × 323.78
  4. Step 4: Simplify right side
    369.95x = 165,593.91
  5. Step 5: Solve for x
    x = 165,593.91/369.95
  6. Step 6: Final answer
    x = 447.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.