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Finding the Fourth Proportional to 374.72, 517.24 and 219.60

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Solution

The fourth proportional to 374.72, 517.24 and 219.60 is: 303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.72 : 517.24 = 219.60 : x
  2. Step 2: Convert to fraction form
    374.72/517.24 = 219.60/x
  3. Step 3: Cross multiply
    374.72x = 517.24 × 219.60
  4. Step 4: Simplify right side
    374.72x = 113,585.90
  5. Step 5: Solve for x
    x = 113,585.90/374.72
  6. Step 6: Final answer
    x = 303.12

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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.