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Finding the Fourth Proportional to 322.62, 484.08 and 192.89

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Solution

The fourth proportional to 322.62, 484.08 and 192.89 is: 289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.62 : 484.08 = 192.89 : x
  2. Step 2: Convert to fraction form
    322.62/484.08 = 192.89/x
  3. Step 3: Cross multiply
    322.62x = 484.08 × 192.89
  4. Step 4: Simplify right side
    322.62x = 93,371.77
  5. Step 5: Solve for x
    x = 93,371.77/322.62
  6. Step 6: Final answer
    x = 289.42

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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.