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Finding the Fourth Proportional to 342.75, 514.33 and 137.41

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Solution

The fourth proportional to 342.75, 514.33 and 137.41 is: 206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.75 : 514.33 = 137.41 : x
  2. Step 2: Convert to fraction form
    342.75/514.33 = 137.41/x
  3. Step 3: Cross multiply
    342.75x = 514.33 × 137.41
  4. Step 4: Simplify right side
    342.75x = 70,674.09
  5. Step 5: Solve for x
    x = 70,674.09/342.75
  6. Step 6: Final answer
    x = 206.20

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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.