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Finding the Fourth Proportional to 348.87, 523.92 and 257.24

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Solution

The fourth proportional to 348.87, 523.92 and 257.24 is: 386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.87 : 523.92 = 257.24 : x
  2. Step 2: Convert to fraction form
    348.87/523.92 = 257.24/x
  3. Step 3: Cross multiply
    348.87x = 523.92 × 257.24
  4. Step 4: Simplify right side
    348.87x = 134,774.49
  5. Step 5: Solve for x
    x = 134,774.49/348.87
  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.