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Finding the Fourth Proportional to 336.54, 503.72 and 323.78

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Solution

The fourth proportional to 336.54, 503.72 and 323.78 is: 484.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.54 : 503.72 = 323.78 : x
  2. Step 2: Convert to fraction form
    336.54/503.72 = 323.78/x
  3. Step 3: Cross multiply
    336.54x = 503.72 × 323.78
  4. Step 4: Simplify right side
    336.54x = 163,094.46
  5. Step 5: Solve for x
    x = 163,094.46/336.54
  6. Step 6: Final answer
    x = 484.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.