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Finding the Fourth Proportional to 374.38, 516.67 and 219.16

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Solution

The fourth proportional to 374.38, 516.67 and 219.16 is: 302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.38 : 516.67 = 219.16 : x
  2. Step 2: Convert to fraction form
    374.38/516.67 = 219.16/x
  3. Step 3: Cross multiply
    374.38x = 516.67 × 219.16
  4. Step 4: Simplify right side
    374.38x = 113,230.81
  5. Step 5: Solve for x
    x = 113,230.81/374.38
  6. Step 6: Final answer
    x = 302.45

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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.