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Finding the Fourth Proportional to 348.86, 523.16 and 129.43

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Solution

The fourth proportional to 348.86, 523.16 and 129.43 is: 194.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.86 : 523.16 = 129.43 : x
  2. Step 2: Convert to fraction form
    348.86/523.16 = 129.43/x
  3. Step 3: Cross multiply
    348.86x = 523.16 × 129.43
  4. Step 4: Simplify right side
    348.86x = 67,710.64
  5. Step 5: Solve for x
    x = 67,710.64/348.86
  6. Step 6: Final answer
    x = 194.09

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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.