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Finding the Fourth Proportional to 375.34, 518.02 and 227.98

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Solution

The fourth proportional to 375.34, 518.02 and 227.98 is: 314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.34 : 518.02 = 227.98 : x
  2. Step 2: Convert to fraction form
    375.34/518.02 = 227.98/x
  3. Step 3: Cross multiply
    375.34x = 518.02 × 227.98
  4. Step 4: Simplify right side
    375.34x = 118,098.20
  5. Step 5: Solve for x
    x = 118,098.20/375.34
  6. Step 6: Final answer
    x = 314.64

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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.