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Finding the Fourth Proportional to 322.36, 483.74 and 185.67

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Solution

The fourth proportional to 322.36, 483.74 and 185.67 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.36 : 483.74 = 185.67 : x
  2. Step 2: Convert to fraction form
    322.36/483.74 = 185.67/x
  3. Step 3: Cross multiply
    322.36x = 483.74 × 185.67
  4. Step 4: Simplify right side
    322.36x = 89,815.77
  5. Step 5: Solve for x
    x = 89,815.77/322.36
  6. Step 6: Final answer
    x = 278.62

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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.