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Finding the Fourth Proportional to 348.45, 523.16 and 279.75

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Solution

The fourth proportional to 348.45, 523.16 and 279.75 is: 420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.45 : 523.16 = 279.75 : x
  2. Step 2: Convert to fraction form
    348.45/523.16 = 279.75/x
  3. Step 3: Cross multiply
    348.45x = 523.16 × 279.75
  4. Step 4: Simplify right side
    348.45x = 146,355.62
  5. Step 5: Solve for x
    x = 146,355.62/348.45
  6. Step 6: Final answer
    x = 420.02

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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.