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Finding the Fourth Proportional to 342.68, 514.21 and 219.35

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Solution

The fourth proportional to 342.68, 514.21 and 219.35 is: 329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.68 : 514.21 = 219.35 : x
  2. Step 2: Convert to fraction form
    342.68/514.21 = 219.35/x
  3. Step 3: Cross multiply
    342.68x = 514.21 × 219.35
  4. Step 4: Simplify right side
    342.68x = 112,793.22
  5. Step 5: Solve for x
    x = 112,793.22/342.68
  6. Step 6: Final answer
    x = 329.15

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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.