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Finding the Fourth Proportional to 348.68, 522.84 and 257.60

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Solution

The fourth proportional to 348.68, 522.84 and 257.60 is: 386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.68 : 522.84 = 257.60 : x
  2. Step 2: Convert to fraction form
    348.68/522.84 = 257.60/x
  3. Step 3: Cross multiply
    348.68x = 522.84 × 257.60
  4. Step 4: Simplify right side
    348.68x = 134,683.58
  5. Step 5: Solve for x
    x = 134,683.58/348.68
  6. Step 6: Final answer
    x = 386.27

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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.