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Finding the Fourth Proportional to 366.44, 553.64 and 363.20

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Solution

The fourth proportional to 366.44, 553.64 and 363.20 is: 548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.44 : 553.64 = 363.20 : x
  2. Step 2: Convert to fraction form
    366.44/553.64 = 363.20/x
  3. Step 3: Cross multiply
    366.44x = 553.64 × 363.20
  4. Step 4: Simplify right side
    366.44x = 201,077.46
  5. Step 5: Solve for x
    x = 201,077.46/366.44
  6. Step 6: Final answer
    x = 548.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.