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Finding the Fourth Proportional to 342.72, 513.77 and 126.23

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Solution

The fourth proportional to 342.72, 513.77 and 126.23 is: 189.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.72 : 513.77 = 126.23 : x
  2. Step 2: Convert to fraction form
    342.72/513.77 = 126.23/x
  3. Step 3: Cross multiply
    342.72x = 513.77 × 126.23
  4. Step 4: Simplify right side
    342.72x = 64,849.99
  5. Step 5: Solve for x
    x = 64,849.99/342.72
  6. Step 6: Final answer
    x = 189.22

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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.