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Finding the Fourth Proportional to 346.38, 516.62 and 328.14

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Solution

The fourth proportional to 346.38, 516.62 and 328.14 is: 489.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.38 : 516.62 = 328.14 : x
  2. Step 2: Convert to fraction form
    346.38/516.62 = 328.14/x
  3. Step 3: Cross multiply
    346.38x = 516.62 × 328.14
  4. Step 4: Simplify right side
    346.38x = 169,523.69
  5. Step 5: Solve for x
    x = 169,523.69/346.38
  6. Step 6: Final answer
    x = 489.42

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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.