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Finding the Fourth Proportional to 381.69, 572.47 and 165.22

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Solution

The fourth proportional to 381.69, 572.47 and 165.22 is: 247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 572.47 = 165.22 : x
  2. Step 2: Convert to fraction form
    381.69/572.47 = 165.22/x
  3. Step 3: Cross multiply
    381.69x = 572.47 × 165.22
  4. Step 4: Simplify right side
    381.69x = 94,581.65
  5. Step 5: Solve for x
    x = 94,581.65/381.69
  6. Step 6: Final answer
    x = 247.80

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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.