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Finding the Fourth Proportional to 374.75, 517.19 and 219.53

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Solution

The fourth proportional to 374.75, 517.19 and 219.53 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.75 : 517.19 = 219.53 : x
  2. Step 2: Convert to fraction form
    374.75/517.19 = 219.53/x
  3. Step 3: Cross multiply
    374.75x = 517.19 × 219.53
  4. Step 4: Simplify right side
    374.75x = 113,538.72
  5. Step 5: Solve for x
    x = 113,538.72/374.75
  6. Step 6: Final answer
    x = 302.97

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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.