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Finding the Fourth Proportional to 322.38, 483.91 and 192.65

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Solution

The fourth proportional to 322.38, 483.91 and 192.65 is: 289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 483.91 = 192.65 : x
  2. Step 2: Convert to fraction form
    322.38/483.91 = 192.65/x
  3. Step 3: Cross multiply
    322.38x = 483.91 × 192.65
  4. Step 4: Simplify right side
    322.38x = 93,222.36
  5. Step 5: Solve for x
    x = 93,222.36/322.38
  6. Step 6: Final answer
    x = 289.17

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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.