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Finding the Fourth Proportional to 374.60, 516.84 and 219.38

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Solution

The fourth proportional to 374.60, 516.84 and 219.38 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.60 : 516.84 = 219.38 : x
  2. Step 2: Convert to fraction form
    374.60/516.84 = 219.38/x
  3. Step 3: Cross multiply
    374.60x = 516.84 × 219.38
  4. Step 4: Simplify right side
    374.60x = 113,384.36
  5. Step 5: Solve for x
    x = 113,384.36/374.60
  6. Step 6: Final answer
    x = 302.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.