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Finding the Fourth Proportional to 348.54, 522.84 and 205.26

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Solution

The fourth proportional to 348.54, 522.84 and 205.26 is: 307.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.54 : 522.84 = 205.26 : x
  2. Step 2: Convert to fraction form
    348.54/522.84 = 205.26/x
  3. Step 3: Cross multiply
    348.54x = 522.84 × 205.26
  4. Step 4: Simplify right side
    348.54x = 107,318.14
  5. Step 5: Solve for x
    x = 107,318.14/348.54
  6. Step 6: Final answer
    x = 307.91

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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.