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Finding the Fourth Proportional to 375.40, 517.92 and 220.20

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Solution

The fourth proportional to 375.40, 517.92 and 220.20 is: 303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.40 : 517.92 = 220.20 : x
  2. Step 2: Convert to fraction form
    375.40/517.92 = 220.20/x
  3. Step 3: Cross multiply
    375.40x = 517.92 × 220.20
  4. Step 4: Simplify right side
    375.40x = 114,045.98
  5. Step 5: Solve for x
    x = 114,045.98/375.40
  6. Step 6: Final answer
    x = 303.80

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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.