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Finding the Fourth Proportional to 322.39, 482.81 and 229.55

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Solution

The fourth proportional to 322.39, 482.81 and 229.55 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.39 : 482.81 = 229.55 : x
  2. Step 2: Convert to fraction form
    322.39/482.81 = 229.55/x
  3. Step 3: Cross multiply
    322.39x = 482.81 × 229.55
  4. Step 4: Simplify right side
    322.39x = 110,829.04
  5. Step 5: Solve for x
    x = 110,829.04/322.39
  6. Step 6: Final answer
    x = 343.77

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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.