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Finding the Fourth Proportional to 348.39, 522.33 and 174.91

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Solution

The fourth proportional to 348.39, 522.33 and 174.91 is: 262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.39 : 522.33 = 174.91 : x
  2. Step 2: Convert to fraction form
    348.39/522.33 = 174.91/x
  3. Step 3: Cross multiply
    348.39x = 522.33 × 174.91
  4. Step 4: Simplify right side
    348.39x = 91,359.43
  5. Step 5: Solve for x
    x = 91,359.43/348.39
  6. Step 6: Final answer
    x = 262.23

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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.