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Finding the Fourth Proportional to 348.07, 522.25 and 211.22

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Solution

The fourth proportional to 348.07, 522.25 and 211.22 is: 316.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.07 : 522.25 = 211.22 : x
  2. Step 2: Convert to fraction form
    348.07/522.25 = 211.22/x
  3. Step 3: Cross multiply
    348.07x = 522.25 × 211.22
  4. Step 4: Simplify right side
    348.07x = 110,309.65
  5. Step 5: Solve for x
    x = 110,309.65/348.07
  6. Step 6: Final answer
    x = 316.92

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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.