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Finding the Fourth Proportional to 348.86, 523.14 and 175.42

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Solution

The fourth proportional to 348.86, 523.14 and 175.42 is: 263.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.86 : 523.14 = 175.42 : x
  2. Step 2: Convert to fraction form
    348.86/523.14 = 175.42/x
  3. Step 3: Cross multiply
    348.86x = 523.14 × 175.42
  4. Step 4: Simplify right side
    348.86x = 91,770.20
  5. Step 5: Solve for x
    x = 91,770.20/348.86
  6. Step 6: Final answer
    x = 263.06

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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.