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Finding the Fourth Proportional to 346.68, 516.69 and 343.82

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Solution

The fourth proportional to 346.68, 516.69 and 343.82 is: 512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.68 : 516.69 = 343.82 : x
  2. Step 2: Convert to fraction form
    346.68/516.69 = 343.82/x
  3. Step 3: Cross multiply
    346.68x = 516.69 × 343.82
  4. Step 4: Simplify right side
    346.68x = 177,645.77
  5. Step 5: Solve for x
    x = 177,645.77/346.68
  6. Step 6: Final answer
    x = 512.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.