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Finding the Fourth Proportional to 349.19, 523.84 and 129.76

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Solution

The fourth proportional to 349.19, 523.84 and 129.76 is: 194.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.19 : 523.84 = 129.76 : x
  2. Step 2: Convert to fraction form
    349.19/523.84 = 129.76/x
  3. Step 3: Cross multiply
    349.19x = 523.84 × 129.76
  4. Step 4: Simplify right side
    349.19x = 67,973.15
  5. Step 5: Solve for x
    x = 67,973.15/349.19
  6. Step 6: Final answer
    x = 194.66

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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.