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Finding the Fourth Proportional to 348.33, 522.37 and 257.61

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Solution

The fourth proportional to 348.33, 522.37 and 257.61 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.33 : 522.37 = 257.61 : x
  2. Step 2: Convert to fraction form
    348.33/522.37 = 257.61/x
  3. Step 3: Cross multiply
    348.33x = 522.37 × 257.61
  4. Step 4: Simplify right side
    348.33x = 134,568.57
  5. Step 5: Solve for x
    x = 134,568.57/348.33
  6. Step 6: Final answer
    x = 386.32

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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.