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Finding the Fourth Proportional to 348.85, 523.53 and 257.80

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Solution

The fourth proportional to 348.85, 523.53 and 257.80 is: 386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.85 : 523.53 = 257.80 : x
  2. Step 2: Convert to fraction form
    348.85/523.53 = 257.80/x
  3. Step 3: Cross multiply
    348.85x = 523.53 × 257.80
  4. Step 4: Simplify right side
    348.85x = 134,962.77
  5. Step 5: Solve for x
    x = 134,962.77/348.85
  6. Step 6: Final answer
    x = 386.88

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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.