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Finding the Fourth Proportional to 374.55, 516.87 and 219.30

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Solution

The fourth proportional to 374.55, 516.87 and 219.30 is: 302.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.55 : 516.87 = 219.30 : x
  2. Step 2: Convert to fraction form
    374.55/516.87 = 219.30/x
  3. Step 3: Cross multiply
    374.55x = 516.87 × 219.30
  4. Step 4: Simplify right side
    374.55x = 113,349.59
  5. Step 5: Solve for x
    x = 113,349.59/374.55
  6. Step 6: Final answer
    x = 302.63

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