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Finding the Fourth Proportional to 342.45, 513.63 and 217.38

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Solution

The fourth proportional to 342.45, 513.63 and 217.38 is: 326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.45 : 513.63 = 217.38 : x
  2. Step 2: Convert to fraction form
    342.45/513.63 = 217.38/x
  3. Step 3: Cross multiply
    342.45x = 513.63 × 217.38
  4. Step 4: Simplify right side
    342.45x = 111,652.89
  5. Step 5: Solve for x
    x = 111,652.89/342.45
  6. Step 6: Final answer
    x = 326.04

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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.