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Finding the Fourth Proportional to 348.89, 523.05 and 175.35

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Solution

The fourth proportional to 348.89, 523.05 and 175.35 is: 262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.89 : 523.05 = 175.35 : x
  2. Step 2: Convert to fraction form
    348.89/523.05 = 175.35/x
  3. Step 3: Cross multiply
    348.89x = 523.05 × 175.35
  4. Step 4: Simplify right side
    348.89x = 91,716.82
  5. Step 5: Solve for x
    x = 91,716.82/348.89
  6. Step 6: Final answer
    x = 262.88

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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.