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Finding the Fourth Proportional to 323.10, 482.60 and 277.62

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Solution

The fourth proportional to 323.10, 482.60 and 277.62 is: 414.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.10 : 482.60 = 277.62 : x
  2. Step 2: Convert to fraction form
    323.10/482.60 = 277.62/x
  3. Step 3: Cross multiply
    323.10x = 482.60 × 277.62
  4. Step 4: Simplify right side
    323.10x = 133,979.41
  5. Step 5: Solve for x
    x = 133,979.41/323.10
  6. Step 6: Final answer
    x = 414.67

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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.